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Finding the Fourth Proportional to 897.15, 1,237.76 and 560.83

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Solution

The fourth proportional to 897.15, 1,237.76 and 560.83 is: 773.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.15 : 1,237.76 = 560.83 : x
  2. Step 2: Convert to fraction form
    897.15/1,237.76 = 560.83/x
  3. Step 3: Cross multiply
    897.15x = 1,237.76 × 560.83
  4. Step 4: Simplify right side
    897.15x = 694,166.75
  5. Step 5: Solve for x
    x = 694,166.75/897.15
  6. Step 6: Final answer
    x = 773.75

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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.