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Finding the Fourth Proportional to 897.68, 1,238.32 and 676.25

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Solution

The fourth proportional to 897.68, 1,238.32 and 676.25 is: 932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.68 : 1,238.32 = 676.25 : x
  2. Step 2: Convert to fraction form
    897.68/1,238.32 = 676.25/x
  3. Step 3: Cross multiply
    897.68x = 1,238.32 × 676.25
  4. Step 4: Simplify right side
    897.68x = 837,407.71
  5. Step 5: Solve for x
    x = 837,407.71/897.68
  6. Step 6: Final answer
    x = 932.86

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1.5x scale

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.