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Finding the Fourth Proportional to 1,117.98, 1,677.69 and 502.02

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Solution

The fourth proportional to 1,117.98, 1,677.69 and 502.02 is: 753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.98 : 1,677.69 = 502.02 : x
  2. Step 2: Convert to fraction form
    1,117.98/1,677.69 = 502.02/x
  3. Step 3: Cross multiply
    1,117.98x = 1,677.69 × 502.02
  4. Step 4: Simplify right side
    1,117.98x = 842,233.93
  5. Step 5: Solve for x
    x = 842,233.93/1,117.98
  6. Step 6: Final answer
    x = 753.35

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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.