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Finding the Fourth Proportional to 1,160.18, 1,599.38 and 717.86

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Solution

The fourth proportional to 1,160.18, 1,599.38 and 717.86 is: 989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.18 : 1,599.38 = 717.86 : x
  2. Step 2: Convert to fraction form
    1,160.18/1,599.38 = 717.86/x
  3. Step 3: Cross multiply
    1,160.18x = 1,599.38 × 717.86
  4. Step 4: Simplify right side
    1,160.18x = 1,148,130.93
  5. Step 5: Solve for x
    x = 1,148,130.93/1,160.18
  6. Step 6: Final answer
    x = 989.61

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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.