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Finding the Fourth Proportional to 1,156.91, 1,734.15 and 718.16

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Solution

The fourth proportional to 1,156.91, 1,734.15 and 718.16 is: 1,076.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.91 : 1,734.15 = 718.16 : x
  2. Step 2: Convert to fraction form
    1,156.91/1,734.15 = 718.16/x
  3. Step 3: Cross multiply
    1,156.91x = 1,734.15 × 718.16
  4. Step 4: Simplify right side
    1,156.91x = 1,245,397.16
  5. Step 5: Solve for x
    x = 1,245,397.16/1,156.91
  6. Step 6: Final answer
    x = 1,076.49

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1.5x scale

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.