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Finding the Fourth Proportional to 1,015.98, 1,531.04 and 918.55

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Solution

The fourth proportional to 1,015.98, 1,531.04 and 918.55 is: 1,384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.98 : 1,531.04 = 918.55 : x
  2. Step 2: Convert to fraction form
    1,015.98/1,531.04 = 918.55/x
  3. Step 3: Cross multiply
    1,015.98x = 1,531.04 × 918.55
  4. Step 4: Simplify right side
    1,015.98x = 1,406,336.79
  5. Step 5: Solve for x
    x = 1,406,336.79/1,015.98
  6. Step 6: Final answer
    x = 1,384.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.