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Finding the Fourth Proportional to 1,152.64, 1,727.34 and 502.01

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Solution

The fourth proportional to 1,152.64, 1,727.34 and 502.01 is: 752.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.64 : 1,727.34 = 502.01 : x
  2. Step 2: Convert to fraction form
    1,152.64/1,727.34 = 502.01/x
  3. Step 3: Cross multiply
    1,152.64x = 1,727.34 × 502.01
  4. Step 4: Simplify right side
    1,152.64x = 867,141.95
  5. Step 5: Solve for x
    x = 867,141.95/1,152.64
  6. Step 6: Final answer
    x = 752.31

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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.