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Finding the Fourth Proportional to 1,013.95, 1,523.91 and 841.72

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Solution

The fourth proportional to 1,013.95, 1,523.91 and 841.72 is: 1,265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.95 : 1,523.91 = 841.72 : x
  2. Step 2: Convert to fraction form
    1,013.95/1,523.91 = 841.72/x
  3. Step 3: Cross multiply
    1,013.95x = 1,523.91 × 841.72
  4. Step 4: Simplify right side
    1,013.95x = 1,282,705.53
  5. Step 5: Solve for x
    x = 1,282,705.53/1,013.95
  6. Step 6: Final answer
    x = 1,265.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.