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Finding the Fourth Proportional to 1,412.61, 1,949.97 and 915.68

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Solution

The fourth proportional to 1,412.61, 1,949.97 and 915.68 is: 1,264.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.61 : 1,949.97 = 915.68 : x
  2. Step 2: Convert to fraction form
    1,412.61/1,949.97 = 915.68/x
  3. Step 3: Cross multiply
    1,412.61x = 1,949.97 × 915.68
  4. Step 4: Simplify right side
    1,412.61x = 1,785,538.78
  5. Step 5: Solve for x
    x = 1,785,538.78/1,412.61
  6. Step 6: Final answer
    x = 1,264.00

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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.