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Finding the Fourth Proportional to 1,117.84, 1,542.48 and 698.20

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Solution

The fourth proportional to 1,117.84, 1,542.48 and 698.20 is: 963.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.84 : 1,542.48 = 698.20 : x
  2. Step 2: Convert to fraction form
    1,117.84/1,542.48 = 698.20/x
  3. Step 3: Cross multiply
    1,117.84x = 1,542.48 × 698.20
  4. Step 4: Simplify right side
    1,117.84x = 1,076,959.54
  5. Step 5: Solve for x
    x = 1,076,959.54/1,117.84
  6. Step 6: Final answer
    x = 963.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.