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Finding the Fourth Proportional to 870.84, 1,199.82 and 559.80

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Solution

The fourth proportional to 870.84, 1,199.82 and 559.80 is: 771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.84 : 1,199.82 = 559.80 : x
  2. Step 2: Convert to fraction form
    870.84/1,199.82 = 559.80/x
  3. Step 3: Cross multiply
    870.84x = 1,199.82 × 559.80
  4. Step 4: Simplify right side
    870.84x = 671,659.24
  5. Step 5: Solve for x
    x = 671,659.24/870.84
  6. Step 6: Final answer
    x = 771.28

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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.