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Finding the Fourth Proportional to 1,475.97, 2,214.27 and 502.05

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Solution

The fourth proportional to 1,475.97, 2,214.27 and 502.05 is: 753.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.97 : 2,214.27 = 502.05 : x
  2. Step 2: Convert to fraction form
    1,475.97/2,214.27 = 502.05/x
  3. Step 3: Cross multiply
    1,475.97x = 2,214.27 × 502.05
  4. Step 4: Simplify right side
    1,475.97x = 1,111,674.25
  5. Step 5: Solve for x
    x = 1,111,674.25/1,475.97
  6. Step 6: Final answer
    x = 753.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.