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Finding the Fourth Proportional to 1,470.84, 2,029.68 and 841.38

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Solution

The fourth proportional to 1,470.84, 2,029.68 and 841.38 is: 1,161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.84 : 2,029.68 = 841.38 : x
  2. Step 2: Convert to fraction form
    1,470.84/2,029.68 = 841.38/x
  3. Step 3: Cross multiply
    1,470.84x = 2,029.68 × 841.38
  4. Step 4: Simplify right side
    1,470.84x = 1,707,732.16
  5. Step 5: Solve for x
    x = 1,707,732.16/1,470.84
  6. Step 6: Final answer
    x = 1,161.06

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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.