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Finding the Fourth Proportional to 672.04, 1,007.14 and 499.35

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Solution

The fourth proportional to 672.04, 1,007.14 and 499.35 is: 748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.04 : 1,007.14 = 499.35 : x
  2. Step 2: Convert to fraction form
    672.04/1,007.14 = 499.35/x
  3. Step 3: Cross multiply
    672.04x = 1,007.14 × 499.35
  4. Step 4: Simplify right side
    672.04x = 502,920.23
  5. Step 5: Solve for x
    x = 502,920.23/672.04
  6. Step 6: Final answer
    x = 748.35

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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.