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Finding the Fourth Proportional to 1,031.34, 1,547.10 and 511.86

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Solution

The fourth proportional to 1,031.34, 1,547.10 and 511.86 is: 767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.34 : 1,547.10 = 511.86 : x
  2. Step 2: Convert to fraction form
    1,031.34/1,547.10 = 511.86/x
  3. Step 3: Cross multiply
    1,031.34x = 1,547.10 × 511.86
  4. Step 4: Simplify right side
    1,031.34x = 791,898.61
  5. Step 5: Solve for x
    x = 791,898.61/1,031.34
  6. Step 6: Final answer
    x = 767.83

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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.