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Finding the Fourth Proportional to 649.58, 895.90 and 566.54

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Solution

The fourth proportional to 649.58, 895.90 and 566.54 is: 781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.58 : 895.90 = 566.54 : x
  2. Step 2: Convert to fraction form
    649.58/895.90 = 566.54/x
  3. Step 3: Cross multiply
    649.58x = 895.90 × 566.54
  4. Step 4: Simplify right side
    649.58x = 507,563.19
  5. Step 5: Solve for x
    x = 507,563.19/649.58
  6. Step 6: Final answer
    x = 781.37

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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.