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Finding the Fourth Proportional to 1,001.86, 1,500.51 and 692.31

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Solution

The fourth proportional to 1,001.86, 1,500.51 and 692.31 is: 1,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.86 : 1,500.51 = 692.31 : x
  2. Step 2: Convert to fraction form
    1,001.86/1,500.51 = 692.31/x
  3. Step 3: Cross multiply
    1,001.86x = 1,500.51 × 692.31
  4. Step 4: Simplify right side
    1,001.86x = 1,038,818.08
  5. Step 5: Solve for x
    x = 1,038,818.08/1,001.86
  6. Step 6: Final answer
    x = 1,036.89

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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.