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Finding the Fourth Proportional to 1,306.96, 1,802.82 and 841.48

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Solution

The fourth proportional to 1,306.96, 1,802.82 and 841.48 is: 1,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.96 : 1,802.82 = 841.48 : x
  2. Step 2: Convert to fraction form
    1,306.96/1,802.82 = 841.48/x
  3. Step 3: Cross multiply
    1,306.96x = 1,802.82 × 841.48
  4. Step 4: Simplify right side
    1,306.96x = 1,517,036.97
  5. Step 5: Solve for x
    x = 1,517,036.97/1,306.96
  6. Step 6: Final answer
    x = 1,160.74

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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.