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Finding the Fourth Proportional to 714.64, 1,071.24 and 498.16

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Solution

The fourth proportional to 714.64, 1,071.24 and 498.16 is: 746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.64 : 1,071.24 = 498.16 : x
  2. Step 2: Convert to fraction form
    714.64/1,071.24 = 498.16/x
  3. Step 3: Cross multiply
    714.64x = 1,071.24 × 498.16
  4. Step 4: Simplify right side
    714.64x = 533,648.92
  5. Step 5: Solve for x
    x = 533,648.92/714.64
  6. Step 6: Final answer
    x = 746.74

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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.