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Finding the Fourth Proportional to 1,031.38, 1,547.47 and 382.16

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Solution

The fourth proportional to 1,031.38, 1,547.47 and 382.16 is: 573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.38 : 1,547.47 = 382.16 : x
  2. Step 2: Convert to fraction form
    1,031.38/1,547.47 = 382.16/x
  3. Step 3: Cross multiply
    1,031.38x = 1,547.47 × 382.16
  4. Step 4: Simplify right side
    1,031.38x = 591,381.14
  5. Step 5: Solve for x
    x = 591,381.14/1,031.38
  6. Step 6: Final answer
    x = 573.39

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