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Finding the Fourth Proportional to 753.71, 1,129.32 and 460.89

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Solution

The fourth proportional to 753.71, 1,129.32 and 460.89 is: 690.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.71 : 1,129.32 = 460.89 : x
  2. Step 2: Convert to fraction form
    753.71/1,129.32 = 460.89/x
  3. Step 3: Cross multiply
    753.71x = 1,129.32 × 460.89
  4. Step 4: Simplify right side
    753.71x = 520,492.29
  5. Step 5: Solve for x
    x = 520,492.29/753.71
  6. Step 6: Final answer
    x = 690.58

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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.