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Finding the Fourth Proportional to 1,000.61, 1,500.61 and 653.93

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Solution

The fourth proportional to 1,000.61, 1,500.61 and 653.93 is: 980.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.61 : 1,500.61 = 653.93 : x
  2. Step 2: Convert to fraction form
    1,000.61/1,500.61 = 653.93/x
  3. Step 3: Cross multiply
    1,000.61x = 1,500.61 × 653.93
  4. Step 4: Simplify right side
    1,000.61x = 981,293.90
  5. Step 5: Solve for x
    x = 981,293.90/1,000.61
  6. Step 6: Final answer
    x = 980.70

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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.