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Finding the Fourth Proportional to 897.59, 1,238.27 and 648.52

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Solution

The fourth proportional to 897.59, 1,238.27 and 648.52 is: 894.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.59 : 1,238.27 = 648.52 : x
  2. Step 2: Convert to fraction form
    897.59/1,238.27 = 648.52/x
  3. Step 3: Cross multiply
    897.59x = 1,238.27 × 648.52
  4. Step 4: Simplify right side
    897.59x = 803,040.17
  5. Step 5: Solve for x
    x = 803,040.17/897.59
  6. Step 6: Final answer
    x = 894.66

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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.