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Finding the Fourth Proportional to 672, 1,006.56 and 509.76

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Solution

The fourth proportional to 672, 1,006.56 and 509.76 is: 763.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    672 : 1,006.56 = 509.76 : x
  2. Step 2: Convert to fraction form
    672/1,006.56 = 509.76/x
  3. Step 3: Cross multiply
    672x = 1,006.56 × 509.76
  4. Step 4: Simplify right side
    672x = 513,104.03
  5. Step 5: Solve for x
    x = 513,104.03/672
  6. Step 6: Final answer
    x = 763.55

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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.