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Finding the Fourth Proportional to 1,314.25, 1,814.51 and 915.77

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Solution

The fourth proportional to 1,314.25, 1,814.51 and 915.77 is: 1,264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.25 : 1,814.51 = 915.77 : x
  2. Step 2: Convert to fraction form
    1,314.25/1,814.51 = 915.77/x
  3. Step 3: Cross multiply
    1,314.25x = 1,814.51 × 915.77
  4. Step 4: Simplify right side
    1,314.25x = 1,661,680.65
  5. Step 5: Solve for x
    x = 1,661,680.65/1,314.25
  6. Step 6: Final answer
    x = 1,264.36

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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.