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Finding the Fourth Proportional to 1,034.75, 1,552.33 and 457.63

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Solution

The fourth proportional to 1,034.75, 1,552.33 and 457.63 is: 686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.75 : 1,552.33 = 457.63 : x
  2. Step 2: Convert to fraction form
    1,034.75/1,552.33 = 457.63/x
  3. Step 3: Cross multiply
    1,034.75x = 1,552.33 × 457.63
  4. Step 4: Simplify right side
    1,034.75x = 710,385.02
  5. Step 5: Solve for x
    x = 710,385.02/1,034.75
  6. Step 6: Final answer
    x = 686.53

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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.