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Finding the Fourth Proportional to 772.70, 1,159.95 and 464.90

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Solution

The fourth proportional to 772.70, 1,159.95 and 464.90 is: 697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.70 : 1,159.95 = 464.90 : x
  2. Step 2: Convert to fraction form
    772.70/1,159.95 = 464.90/x
  3. Step 3: Cross multiply
    772.70x = 1,159.95 × 464.90
  4. Step 4: Simplify right side
    772.70x = 539,260.76
  5. Step 5: Solve for x
    x = 539,260.76/772.70
  6. Step 6: Final answer
    x = 697.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.