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Finding the Fourth Proportional to 1,000.15, 1,500.42 and 824.69

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Solution

The fourth proportional to 1,000.15, 1,500.42 and 824.69 is: 1,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.15 : 1,500.42 = 824.69 : x
  2. Step 2: Convert to fraction form
    1,000.15/1,500.42 = 824.69/x
  3. Step 3: Cross multiply
    1,000.15x = 1,500.42 × 824.69
  4. Step 4: Simplify right side
    1,000.15x = 1,237,381.37
  5. Step 5: Solve for x
    x = 1,237,381.37/1,000.15
  6. Step 6: Final answer
    x = 1,237.20

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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.