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Finding the Fourth Proportional to 1,427.25, 2,140.62 and 502.69

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Solution

The fourth proportional to 1,427.25, 2,140.62 and 502.69 is: 753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.25 : 2,140.62 = 502.69 : x
  2. Step 2: Convert to fraction form
    1,427.25/2,140.62 = 502.69/x
  3. Step 3: Cross multiply
    1,427.25x = 2,140.62 × 502.69
  4. Step 4: Simplify right side
    1,427.25x = 1,076,068.27
  5. Step 5: Solve for x
    x = 1,076,068.27/1,427.25
  6. Step 6: Final answer
    x = 753.95

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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.