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Finding the Fourth Proportional to 897.90, 1,238.91 and 676.35

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Solution

The fourth proportional to 897.90, 1,238.91 and 676.35 is: 933.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.90 : 1,238.91 = 676.35 : x
  2. Step 2: Convert to fraction form
    897.90/1,238.91 = 676.35/x
  3. Step 3: Cross multiply
    897.90x = 1,238.91 × 676.35
  4. Step 4: Simplify right side
    897.90x = 837,936.78
  5. Step 5: Solve for x
    x = 837,936.78/897.90
  6. Step 6: Final answer
    x = 933.22

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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.