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Finding the Fourth Proportional to 877.95, 1,212.30 and 584.55

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Solution

The fourth proportional to 877.95, 1,212.30 and 584.55 is: 807.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.95 : 1,212.30 = 584.55 : x
  2. Step 2: Convert to fraction form
    877.95/1,212.30 = 584.55/x
  3. Step 3: Cross multiply
    877.95x = 1,212.30 × 584.55
  4. Step 4: Simplify right side
    877.95x = 708,649.97
  5. Step 5: Solve for x
    x = 708,649.97/877.95
  6. Step 6: Final answer
    x = 807.16

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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.