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Finding the Fourth Proportional to 1,116.90, 1,542.02 and 718.74

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Solution

The fourth proportional to 1,116.90, 1,542.02 and 718.74 is: 992.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.90 : 1,542.02 = 718.74 : x
  2. Step 2: Convert to fraction form
    1,116.90/1,542.02 = 718.74/x
  3. Step 3: Cross multiply
    1,116.90x = 1,542.02 × 718.74
  4. Step 4: Simplify right side
    1,116.90x = 1,108,311.45
  5. Step 5: Solve for x
    x = 1,108,311.45/1,116.90
  6. Step 6: Final answer
    x = 992.31

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1.5x scale

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.