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Finding the Fourth Proportional to 699.54, 1,041.32 and 689.16

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Solution

The fourth proportional to 699.54, 1,041.32 and 689.16 is: 1,025.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.54 : 1,041.32 = 689.16 : x
  2. Step 2: Convert to fraction form
    699.54/1,041.32 = 689.16/x
  3. Step 3: Cross multiply
    699.54x = 1,041.32 × 689.16
  4. Step 4: Simplify right side
    699.54x = 717,636.09
  5. Step 5: Solve for x
    x = 717,636.09/699.54
  6. Step 6: Final answer
    x = 1,025.87

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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.