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Finding the Fourth Proportional to 1,305.53, 1,801.76 and 886.76

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Solution

The fourth proportional to 1,305.53, 1,801.76 and 886.76 is: 1,223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.53 : 1,801.76 = 886.76 : x
  2. Step 2: Convert to fraction form
    1,305.53/1,801.76 = 886.76/x
  3. Step 3: Cross multiply
    1,305.53x = 1,801.76 × 886.76
  4. Step 4: Simplify right side
    1,305.53x = 1,597,715.26
  5. Step 5: Solve for x
    x = 1,597,715.26/1,305.53
  6. Step 6: Final answer
    x = 1,223.81

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.