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Finding the Fourth Proportional to 1,031.73, 1,547.45 and 382.38

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Solution

The fourth proportional to 1,031.73, 1,547.45 and 382.38 is: 573.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.73 : 1,547.45 = 382.38 : x
  2. Step 2: Convert to fraction form
    1,031.73/1,547.45 = 382.38/x
  3. Step 3: Cross multiply
    1,031.73x = 1,547.45 × 382.38
  4. Step 4: Simplify right side
    1,031.73x = 591,713.93
  5. Step 5: Solve for x
    x = 591,713.93/1,031.73
  6. Step 6: Final answer
    x = 573.52

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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.