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Finding the Fourth Proportional to 630.74, 869.95 and 559.93

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Solution

The fourth proportional to 630.74, 869.95 and 559.93 is: 772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.74 : 869.95 = 559.93 : x
  2. Step 2: Convert to fraction form
    630.74/869.95 = 559.93/x
  3. Step 3: Cross multiply
    630.74x = 869.95 × 559.93
  4. Step 4: Simplify right side
    630.74x = 487,107.53
  5. Step 5: Solve for x
    x = 487,107.53/630.74
  6. Step 6: Final answer
    x = 772.28

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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.