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Finding the Fourth Proportional to 876.54, 1,315.14 and 299.46

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Solution

The fourth proportional to 876.54, 1,315.14 and 299.46 is: 449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.54 : 1,315.14 = 299.46 : x
  2. Step 2: Convert to fraction form
    876.54/1,315.14 = 299.46/x
  3. Step 3: Cross multiply
    876.54x = 1,315.14 × 299.46
  4. Step 4: Simplify right side
    876.54x = 393,831.82
  5. Step 5: Solve for x
    x = 393,831.82/876.54
  6. Step 6: Final answer
    x = 449.30

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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.