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Finding the Fourth Proportional to 717.79, 1,076.25 and 470.69

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Solution

The fourth proportional to 717.79, 1,076.25 and 470.69 is: 705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.79 : 1,076.25 = 470.69 : x
  2. Step 2: Convert to fraction form
    717.79/1,076.25 = 470.69/x
  3. Step 3: Cross multiply
    717.79x = 1,076.25 × 470.69
  4. Step 4: Simplify right side
    717.79x = 506,580.11
  5. Step 5: Solve for x
    x = 506,580.11/717.79
  6. Step 6: Final answer
    x = 705.75

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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.