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Finding the Fourth Proportional to 898.77, 1,347.57 and 378.66

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Solution

The fourth proportional to 898.77, 1,347.57 and 378.66 is: 567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.77 : 1,347.57 = 378.66 : x
  2. Step 2: Convert to fraction form
    898.77/1,347.57 = 378.66/x
  3. Step 3: Cross multiply
    898.77x = 1,347.57 × 378.66
  4. Step 4: Simplify right side
    898.77x = 510,270.86
  5. Step 5: Solve for x
    x = 510,270.86/898.77
  6. Step 6: Final answer
    x = 567.74

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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.