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Finding the Fourth Proportional to 897.85, 1,238.90 and 566.46

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Solution

The fourth proportional to 897.85, 1,238.90 and 566.46 is: 781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.85 : 1,238.90 = 566.46 : x
  2. Step 2: Convert to fraction form
    897.85/1,238.90 = 566.46/x
  3. Step 3: Cross multiply
    897.85x = 1,238.90 × 566.46
  4. Step 4: Simplify right side
    897.85x = 701,784.46
  5. Step 5: Solve for x
    x = 701,784.46/897.85
  6. Step 6: Final answer
    x = 781.63

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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.