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Finding the Fourth Proportional to 777.53, 1,164.75 and 468.47

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Solution

The fourth proportional to 777.53, 1,164.75 and 468.47 is: 701.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.53 : 1,164.75 = 468.47 : x
  2. Step 2: Convert to fraction form
    777.53/1,164.75 = 468.47/x
  3. Step 3: Cross multiply
    777.53x = 1,164.75 × 468.47
  4. Step 4: Simplify right side
    777.53x = 545,644.61
  5. Step 5: Solve for x
    x = 545,644.61/777.53
  6. Step 6: Final answer
    x = 701.77

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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.