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Finding the Fourth Proportional to 772.93, 1,159.69 and 465

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Solution

The fourth proportional to 772.93, 1,159.69 and 465 is: 697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.93 : 1,159.69 = 465 : x
  2. Step 2: Convert to fraction form
    772.93/1,159.69 = 465/x
  3. Step 3: Cross multiply
    772.93x = 1,159.69 × 465
  4. Step 4: Simplify right side
    772.93x = 539,253.53
  5. Step 5: Solve for x
    x = 539,253.53/772.93
  6. Step 6: Final answer
    x = 697.68

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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.