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Finding the Fourth Proportional to 699.76, 1,043.47 and 693.52

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Solution

The fourth proportional to 699.76, 1,043.47 and 693.52 is: 1,034.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.76 : 1,043.47 = 693.52 : x
  2. Step 2: Convert to fraction form
    699.76/1,043.47 = 693.52/x
  3. Step 3: Cross multiply
    699.76x = 1,043.47 × 693.52
  4. Step 4: Simplify right side
    699.76x = 723,668.72
  5. Step 5: Solve for x
    x = 723,668.72/699.76
  6. Step 6: Final answer
    x = 1,034.16

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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.