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Finding the Fourth Proportional to 1,034.50, 1,551.95 and 457.38

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Solution

The fourth proportional to 1,034.50, 1,551.95 and 457.38 is: 686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.50 : 1,551.95 = 457.38 : x
  2. Step 2: Convert to fraction form
    1,034.50/1,551.95 = 457.38/x
  3. Step 3: Cross multiply
    1,034.50x = 1,551.95 × 457.38
  4. Step 4: Simplify right side
    1,034.50x = 709,830.89
  5. Step 5: Solve for x
    x = 709,830.89/1,034.50
  6. Step 6: Final answer
    x = 686.16

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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.