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Finding the Fourth Proportional to 1,031.41, 1,547.70 and 382.60

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Solution

The fourth proportional to 1,031.41, 1,547.70 and 382.60 is: 574.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.41 : 1,547.70 = 382.60 : x
  2. Step 2: Convert to fraction form
    1,031.41/1,547.70 = 382.60/x
  3. Step 3: Cross multiply
    1,031.41x = 1,547.70 × 382.60
  4. Step 4: Simplify right side
    1,031.41x = 592,150.02
  5. Step 5: Solve for x
    x = 592,150.02/1,031.41
  6. Step 6: Final answer
    x = 574.12

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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.