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Finding the Fourth Proportional to 781.65, 1,170.05 and 598.46

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Solution

The fourth proportional to 781.65, 1,170.05 and 598.46 is: 895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.65 : 1,170.05 = 598.46 : x
  2. Step 2: Convert to fraction form
    781.65/1,170.05 = 598.46/x
  3. Step 3: Cross multiply
    781.65x = 1,170.05 × 598.46
  4. Step 4: Simplify right side
    781.65x = 700,219.28
  5. Step 5: Solve for x
    x = 700,219.28/781.65
  6. Step 6: Final answer
    x = 895.82

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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.