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Finding the Fourth Proportional to 1,588.84, 2,192.56 and 880.73

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Solution

The fourth proportional to 1,588.84, 2,192.56 and 880.73 is: 1,215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.84 : 2,192.56 = 880.73 : x
  2. Step 2: Convert to fraction form
    1,588.84/2,192.56 = 880.73/x
  3. Step 3: Cross multiply
    1,588.84x = 2,192.56 × 880.73
  4. Step 4: Simplify right side
    1,588.84x = 1,931,053.37
  5. Step 5: Solve for x
    x = 1,931,053.37/1,588.84
  6. Step 6: Final answer
    x = 1,215.39

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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.