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Finding the Fourth Proportional to 650.58, 895.07 and 567.88

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Solution

The fourth proportional to 650.58, 895.07 and 567.88 is: 781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.58 : 895.07 = 567.88 : x
  2. Step 2: Convert to fraction form
    650.58/895.07 = 567.88/x
  3. Step 3: Cross multiply
    650.58x = 895.07 × 567.88
  4. Step 4: Simplify right side
    650.58x = 508,291.53
  5. Step 5: Solve for x
    x = 508,291.53/650.58
  6. Step 6: Final answer
    x = 781.29

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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.