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Finding the Fourth Proportional to 876.48, 1,315.14 and 414

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Solution

The fourth proportional to 876.48, 1,315.14 and 414 is: 621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.48 : 1,315.14 = 414 : x
  2. Step 2: Convert to fraction form
    876.48/1,315.14 = 414/x
  3. Step 3: Cross multiply
    876.48x = 1,315.14 × 414
  4. Step 4: Simplify right side
    876.48x = 544,467.96
  5. Step 5: Solve for x
    x = 544,467.96/876.48
  6. Step 6: Final answer
    x = 621.20

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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.