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Finding the Fourth Proportional to 961.48, 1,326.66 and 587.80

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Solution

The fourth proportional to 961.48, 1,326.66 and 587.80 is: 811.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.48 : 1,326.66 = 587.80 : x
  2. Step 2: Convert to fraction form
    961.48/1,326.66 = 587.80/x
  3. Step 3: Cross multiply
    961.48x = 1,326.66 × 587.80
  4. Step 4: Simplify right side
    961.48x = 779,810.75
  5. Step 5: Solve for x
    x = 779,810.75/961.48
  6. Step 6: Final answer
    x = 811.05

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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.