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Finding the Fourth Proportional to 1,457.25, 2,184.55 and 532.15

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Solution

The fourth proportional to 1,457.25, 2,184.55 and 532.15 is: 797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.25 : 2,184.55 = 532.15 : x
  2. Step 2: Convert to fraction form
    1,457.25/2,184.55 = 532.15/x
  3. Step 3: Cross multiply
    1,457.25x = 2,184.55 × 532.15
  4. Step 4: Simplify right side
    1,457.25x = 1,162,516.77
  5. Step 5: Solve for x
    x = 1,162,516.77/1,457.25
  6. Step 6: Final answer
    x = 797.75

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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.