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Finding the Fourth Proportional to 1,470.27, 2,029.28 and 840.77

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Solution

The fourth proportional to 1,470.27, 2,029.28 and 840.77 is: 1,160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.27 : 2,029.28 = 840.77 : x
  2. Step 2: Convert to fraction form
    1,470.27/2,029.28 = 840.77/x
  3. Step 3: Cross multiply
    1,470.27x = 2,029.28 × 840.77
  4. Step 4: Simplify right side
    1,470.27x = 1,706,143.40
  5. Step 5: Solve for x
    x = 1,706,143.40/1,470.27
  6. Step 6: Final answer
    x = 1,160.43

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1.5x scale

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.