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Finding the Fourth Proportional to 696.60, 1,045.71 and 552.42

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Solution

The fourth proportional to 696.60, 1,045.71 and 552.42 is: 829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.60 : 1,045.71 = 552.42 : x
  2. Step 2: Convert to fraction form
    696.60/1,045.71 = 552.42/x
  3. Step 3: Cross multiply
    696.60x = 1,045.71 × 552.42
  4. Step 4: Simplify right side
    696.60x = 577,671.12
  5. Step 5: Solve for x
    x = 577,671.12/696.60
  6. Step 6: Final answer
    x = 829.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.