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Finding the Fourth Proportional to 1,015.53, 1,401.08 and 665.61

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Solution

The fourth proportional to 1,015.53, 1,401.08 and 665.61 is: 918.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.53 : 1,401.08 = 665.61 : x
  2. Step 2: Convert to fraction form
    1,015.53/1,401.08 = 665.61/x
  3. Step 3: Cross multiply
    1,015.53x = 1,401.08 × 665.61
  4. Step 4: Simplify right side
    1,015.53x = 932,569.53
  5. Step 5: Solve for x
    x = 932,569.53/1,015.53
  6. Step 6: Final answer
    x = 918.31

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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.