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Finding the Fourth Proportional to 699.57, 964.71 and 575.10

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Solution

The fourth proportional to 699.57, 964.71 and 575.10 is: 793.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.57 : 964.71 = 575.10 : x
  2. Step 2: Convert to fraction form
    699.57/964.71 = 575.10/x
  3. Step 3: Cross multiply
    699.57x = 964.71 × 575.10
  4. Step 4: Simplify right side
    699.57x = 554,804.72
  5. Step 5: Solve for x
    x = 554,804.72/699.57
  6. Step 6: Final answer
    x = 793.07

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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.