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Finding the Fourth Proportional to 1,532.18, 2,297.73 and 710.30

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Solution

The fourth proportional to 1,532.18, 2,297.73 and 710.30 is: 1,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.18 : 2,297.73 = 710.30 : x
  2. Step 2: Convert to fraction form
    1,532.18/2,297.73 = 710.30/x
  3. Step 3: Cross multiply
    1,532.18x = 2,297.73 × 710.30
  4. Step 4: Simplify right side
    1,532.18x = 1,632,077.62
  5. Step 5: Solve for x
    x = 1,632,077.62/1,532.18
  6. Step 6: Final answer
    x = 1,065.20

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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.