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Finding the Fourth Proportional to 1,532.36, 2,298.15 and 709.83

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Solution

The fourth proportional to 1,532.36, 2,298.15 and 709.83 is: 1,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.36 : 2,298.15 = 709.83 : x
  2. Step 2: Convert to fraction form
    1,532.36/2,298.15 = 709.83/x
  3. Step 3: Cross multiply
    1,532.36x = 2,298.15 × 709.83
  4. Step 4: Simplify right side
    1,532.36x = 1,631,295.81
  5. Step 5: Solve for x
    x = 1,631,295.81/1,532.36
  6. Step 6: Final answer
    x = 1,064.56

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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.