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Finding the Fourth Proportional to 833.88, 1,151.58 and 687

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Solution

The fourth proportional to 833.88, 1,151.58 and 687 is: 948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.88 : 1,151.58 = 687 : x
  2. Step 2: Convert to fraction form
    833.88/1,151.58 = 687/x
  3. Step 3: Cross multiply
    833.88x = 1,151.58 × 687
  4. Step 4: Simplify right side
    833.88x = 791,135.46
  5. Step 5: Solve for x
    x = 791,135.46/833.88
  6. Step 6: Final answer
    x = 948.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.