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Finding the Fourth Proportional to 1,001.58, 1,500.65 and 900.13

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Solution

The fourth proportional to 1,001.58, 1,500.65 and 900.13 is: 1,348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.58 : 1,500.65 = 900.13 : x
  2. Step 2: Convert to fraction form
    1,001.58/1,500.65 = 900.13/x
  3. Step 3: Cross multiply
    1,001.58x = 1,500.65 × 900.13
  4. Step 4: Simplify right side
    1,001.58x = 1,350,780.08
  5. Step 5: Solve for x
    x = 1,350,780.08/1,001.58
  6. Step 6: Final answer
    x = 1,348.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.