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Finding the Fourth Proportional to 1,031.46, 1,547.36 and 337.93

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Solution

The fourth proportional to 1,031.46, 1,547.36 and 337.93 is: 506.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.46 : 1,547.36 = 337.93 : x
  2. Step 2: Convert to fraction form
    1,031.46/1,547.36 = 337.93/x
  3. Step 3: Cross multiply
    1,031.46x = 1,547.36 × 337.93
  4. Step 4: Simplify right side
    1,031.46x = 522,896.34
  5. Step 5: Solve for x
    x = 522,896.34/1,031.46
  6. Step 6: Final answer
    x = 506.95

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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.