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Finding the Fourth Proportional to 1,470.64, 2,029.44 and 880.96

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Solution

The fourth proportional to 1,470.64, 2,029.44 and 880.96 is: 1,215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.64 : 2,029.44 = 880.96 : x
  2. Step 2: Convert to fraction form
    1,470.64/2,029.44 = 880.96/x
  3. Step 3: Cross multiply
    1,470.64x = 2,029.44 × 880.96
  4. Step 4: Simplify right side
    1,470.64x = 1,787,855.46
  5. Step 5: Solve for x
    x = 1,787,855.46/1,470.64
  6. Step 6: Final answer
    x = 1,215.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.