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Finding the Fourth Proportional to 837.09, 1,154.56 and 588.69

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Solution

The fourth proportional to 837.09, 1,154.56 and 588.69 is: 811.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.09 : 1,154.56 = 588.69 : x
  2. Step 2: Convert to fraction form
    837.09/1,154.56 = 588.69/x
  3. Step 3: Cross multiply
    837.09x = 1,154.56 × 588.69
  4. Step 4: Simplify right side
    837.09x = 679,677.93
  5. Step 5: Solve for x
    x = 679,677.93/837.09
  6. Step 6: Final answer
    x = 811.95

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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.