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Finding the Fourth Proportional to 699.11, 1,043.75 and 577.61

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Solution

The fourth proportional to 699.11, 1,043.75 and 577.61 is: 862.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.11 : 1,043.75 = 577.61 : x
  2. Step 2: Convert to fraction form
    699.11/1,043.75 = 577.61/x
  3. Step 3: Cross multiply
    699.11x = 1,043.75 × 577.61
  4. Step 4: Simplify right side
    699.11x = 602,880.44
  5. Step 5: Solve for x
    x = 602,880.44/699.11
  6. Step 6: Final answer
    x = 862.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.