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Finding the Fourth Proportional to 1,006.74, 1,509.57 and 421.92

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Solution

The fourth proportional to 1,006.74, 1,509.57 and 421.92 is: 632.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.74 : 1,509.57 = 421.92 : x
  2. Step 2: Convert to fraction form
    1,006.74/1,509.57 = 421.92/x
  3. Step 3: Cross multiply
    1,006.74x = 1,509.57 × 421.92
  4. Step 4: Simplify right side
    1,006.74x = 636,917.77
  5. Step 5: Solve for x
    x = 636,917.77/1,006.74
  6. Step 6: Final answer
    x = 632.65

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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.