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Finding the Fourth Proportional to 732.91, 1,011.80 and 498.10

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Solution

The fourth proportional to 732.91, 1,011.80 and 498.10 is: 687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.91 : 1,011.80 = 498.10 : x
  2. Step 2: Convert to fraction form
    732.91/1,011.80 = 498.10/x
  3. Step 3: Cross multiply
    732.91x = 1,011.80 × 498.10
  4. Step 4: Simplify right side
    732.91x = 503,977.58
  5. Step 5: Solve for x
    x = 503,977.58/732.91
  6. Step 6: Final answer
    x = 687.64

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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.