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Finding the Fourth Proportional to 1,031.70, 1,547.12 and 382.08

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Solution

The fourth proportional to 1,031.70, 1,547.12 and 382.08 is: 572.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.70 : 1,547.12 = 382.08 : x
  2. Step 2: Convert to fraction form
    1,031.70/1,547.12 = 382.08/x
  3. Step 3: Cross multiply
    1,031.70x = 1,547.12 × 382.08
  4. Step 4: Simplify right side
    1,031.70x = 591,123.61
  5. Step 5: Solve for x
    x = 591,123.61/1,031.70
  6. Step 6: Final answer
    x = 572.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.