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Finding the Fourth Proportional to 1,134.34, 1,700.31 and 484.74

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Solution

The fourth proportional to 1,134.34, 1,700.31 and 484.74 is: 726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.34 : 1,700.31 = 484.74 : x
  2. Step 2: Convert to fraction form
    1,134.34/1,700.31 = 484.74/x
  3. Step 3: Cross multiply
    1,134.34x = 1,700.31 × 484.74
  4. Step 4: Simplify right side
    1,134.34x = 824,208.27
  5. Step 5: Solve for x
    x = 824,208.27/1,134.34
  6. Step 6: Final answer
    x = 726.60

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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.