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Finding the Fourth Proportional to 777.49, 1,164.51 and 468.72

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Solution

The fourth proportional to 777.49, 1,164.51 and 468.72 is: 702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.49 : 1,164.51 = 468.72 : x
  2. Step 2: Convert to fraction form
    777.49/1,164.51 = 468.72/x
  3. Step 3: Cross multiply
    777.49x = 1,164.51 × 468.72
  4. Step 4: Simplify right side
    777.49x = 545,829.13
  5. Step 5: Solve for x
    x = 545,829.13/777.49
  6. Step 6: Final answer
    x = 702.04

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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.