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Finding the Fourth Proportional to 1,307.38, 1,803.17 and 909.03

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Solution

The fourth proportional to 1,307.38, 1,803.17 and 909.03 is: 1,253.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.38 : 1,803.17 = 909.03 : x
  2. Step 2: Convert to fraction form
    1,307.38/1,803.17 = 909.03/x
  3. Step 3: Cross multiply
    1,307.38x = 1,803.17 × 909.03
  4. Step 4: Simplify right side
    1,307.38x = 1,639,135.63
  5. Step 5: Solve for x
    x = 1,639,135.63/1,307.38
  6. Step 6: Final answer
    x = 1,253.76

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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.