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Finding the Fourth Proportional to 937.84, 1,293.85 and 587.92

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Solution

The fourth proportional to 937.84, 1,293.85 and 587.92 is: 811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.84 : 1,293.85 = 587.92 : x
  2. Step 2: Convert to fraction form
    937.84/1,293.85 = 587.92/x
  3. Step 3: Cross multiply
    937.84x = 1,293.85 × 587.92
  4. Step 4: Simplify right side
    937.84x = 760,680.29
  5. Step 5: Solve for x
    x = 760,680.29/937.84
  6. Step 6: Final answer
    x = 811.10

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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.