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Finding the Fourth Proportional to 1,000.62, 1,501.23 and 452.65

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Solution

The fourth proportional to 1,000.62, 1,501.23 and 452.65 is: 679.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.62 : 1,501.23 = 452.65 : x
  2. Step 2: Convert to fraction form
    1,000.62/1,501.23 = 452.65/x
  3. Step 3: Cross multiply
    1,000.62x = 1,501.23 × 452.65
  4. Step 4: Simplify right side
    1,000.62x = 679,531.76
  5. Step 5: Solve for x
    x = 679,531.76/1,000.62
  6. Step 6: Final answer
    x = 679.11

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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.