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Finding the Fourth Proportional to 897.31, 1,237.54 and 617.10

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Solution

The fourth proportional to 897.31, 1,237.54 and 617.10 is: 851.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.31 : 1,237.54 = 617.10 : x
  2. Step 2: Convert to fraction form
    897.31/1,237.54 = 617.10/x
  3. Step 3: Cross multiply
    897.31x = 1,237.54 × 617.10
  4. Step 4: Simplify right side
    897.31x = 763,685.93
  5. Step 5: Solve for x
    x = 763,685.93/897.31
  6. Step 6: Final answer
    x = 851.08

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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.