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Finding the Fourth Proportional to 1,152.55, 1,727.80 and 502.77

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Solution

The fourth proportional to 1,152.55, 1,727.80 and 502.77 is: 753.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.55 : 1,727.80 = 502.77 : x
  2. Step 2: Convert to fraction form
    1,152.55/1,727.80 = 502.77/x
  3. Step 3: Cross multiply
    1,152.55x = 1,727.80 × 502.77
  4. Step 4: Simplify right side
    1,152.55x = 868,683.49
  5. Step 5: Solve for x
    x = 868,683.49/1,152.55
  6. Step 6: Final answer
    x = 753.71

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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.