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Finding the Fourth Proportional to 1,470.97, 2,029.35 and 841.40

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Solution

The fourth proportional to 1,470.97, 2,029.35 and 841.40 is: 1,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.97 : 2,029.35 = 841.40 : x
  2. Step 2: Convert to fraction form
    1,470.97/2,029.35 = 841.40/x
  3. Step 3: Cross multiply
    1,470.97x = 2,029.35 × 841.40
  4. Step 4: Simplify right side
    1,470.97x = 1,707,495.09
  5. Step 5: Solve for x
    x = 1,707,495.09/1,470.97
  6. Step 6: Final answer
    x = 1,160.80

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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.