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Finding the Fourth Proportional to 897.90, 1,239.50 and 661.44

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Solution

The fourth proportional to 897.90, 1,239.50 and 661.44 is: 913.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.90 : 1,239.50 = 661.44 : x
  2. Step 2: Convert to fraction form
    897.90/1,239.50 = 661.44/x
  3. Step 3: Cross multiply
    897.90x = 1,239.50 × 661.44
  4. Step 4: Simplify right side
    897.90x = 819,854.88
  5. Step 5: Solve for x
    x = 819,854.88/897.90
  6. Step 6: Final answer
    x = 913.08

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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.