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Finding the Fourth Proportional to 880.92, 1,320.57 and 470.34

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Solution

The fourth proportional to 880.92, 1,320.57 and 470.34 is: 705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.92 : 1,320.57 = 470.34 : x
  2. Step 2: Convert to fraction form
    880.92/1,320.57 = 470.34/x
  3. Step 3: Cross multiply
    880.92x = 1,320.57 × 470.34
  4. Step 4: Simplify right side
    880.92x = 621,116.89
  5. Step 5: Solve for x
    x = 621,116.89/880.92
  6. Step 6: Final answer
    x = 705.08

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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.