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Finding the Fourth Proportional to 649.56, 895.86 and 597.24

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Solution

The fourth proportional to 649.56, 895.86 and 597.24 is: 823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.56 : 895.86 = 597.24 : x
  2. Step 2: Convert to fraction form
    649.56/895.86 = 597.24/x
  3. Step 3: Cross multiply
    649.56x = 895.86 × 597.24
  4. Step 4: Simplify right side
    649.56x = 535,043.43
  5. Step 5: Solve for x
    x = 535,043.43/649.56
  6. Step 6: Final answer
    x = 823.70

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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.