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Finding the Fourth Proportional to 1,118.52, 1,677.51 and 349.02

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Solution

The fourth proportional to 1,118.52, 1,677.51 and 349.02 is: 523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.52 : 1,677.51 = 349.02 : x
  2. Step 2: Convert to fraction form
    1,118.52/1,677.51 = 349.02/x
  3. Step 3: Cross multiply
    1,118.52x = 1,677.51 × 349.02
  4. Step 4: Simplify right side
    1,118.52x = 585,484.54
  5. Step 5: Solve for x
    x = 585,484.54/1,118.52
  6. Step 6: Final answer
    x = 523.45

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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.