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Finding the Fourth Proportional to 660.42, 988.68 and 515.70

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Solution

The fourth proportional to 660.42, 988.68 and 515.70 is: 772.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.42 : 988.68 = 515.70 : x
  2. Step 2: Convert to fraction form
    660.42/988.68 = 515.70/x
  3. Step 3: Cross multiply
    660.42x = 988.68 × 515.70
  4. Step 4: Simplify right side
    660.42x = 509,862.28
  5. Step 5: Solve for x
    x = 509,862.28/660.42
  6. Step 6: Final answer
    x = 772.03

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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.