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Finding the Fourth Proportional to 695.52, 957.36 and 498.72

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Solution

The fourth proportional to 695.52, 957.36 and 498.72 is: 686.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.52 : 957.36 = 498.72 : x
  2. Step 2: Convert to fraction form
    695.52/957.36 = 498.72/x
  3. Step 3: Cross multiply
    695.52x = 957.36 × 498.72
  4. Step 4: Simplify right side
    695.52x = 477,454.58
  5. Step 5: Solve for x
    x = 477,454.58/695.52
  6. Step 6: Final answer
    x = 686.47

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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.