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Finding the Fourth Proportional to 1,358.27, 2,036.02 and 537.13

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Solution

The fourth proportional to 1,358.27, 2,036.02 and 537.13 is: 805.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.27 : 2,036.02 = 537.13 : x
  2. Step 2: Convert to fraction form
    1,358.27/2,036.02 = 537.13/x
  3. Step 3: Cross multiply
    1,358.27x = 2,036.02 × 537.13
  4. Step 4: Simplify right side
    1,358.27x = 1,093,607.42
  5. Step 5: Solve for x
    x = 1,093,607.42/1,358.27
  6. Step 6: Final answer
    x = 805.15

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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.