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Finding the Fourth Proportional to 731.34, 1,009.53 and 498.78

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Solution

The fourth proportional to 731.34, 1,009.53 and 498.78 is: 688.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.34 : 1,009.53 = 498.78 : x
  2. Step 2: Convert to fraction form
    731.34/1,009.53 = 498.78/x
  3. Step 3: Cross multiply
    731.34x = 1,009.53 × 498.78
  4. Step 4: Simplify right side
    731.34x = 503,533.37
  5. Step 5: Solve for x
    x = 503,533.37/731.34
  6. Step 6: Final answer
    x = 688.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.