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Finding the Fourth Proportional to 526.14, 787.94 and 448.66

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Solution

The fourth proportional to 526.14, 787.94 and 448.66 is: 671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.14 : 787.94 = 448.66 : x
  2. Step 2: Convert to fraction form
    526.14/787.94 = 448.66/x
  3. Step 3: Cross multiply
    526.14x = 787.94 × 448.66
  4. Step 4: Simplify right side
    526.14x = 353,517.16
  5. Step 5: Solve for x
    x = 353,517.16/526.14
  6. Step 6: Final answer
    x = 671.91

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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.