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Finding the Fourth Proportional to 705.99, 1,052.99 and 693.69

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Solution

The fourth proportional to 705.99, 1,052.99 and 693.69 is: 1,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.99 : 1,052.99 = 693.69 : x
  2. Step 2: Convert to fraction form
    705.99/1,052.99 = 693.69/x
  3. Step 3: Cross multiply
    705.99x = 1,052.99 × 693.69
  4. Step 4: Simplify right side
    705.99x = 730,445.16
  5. Step 5: Solve for x
    x = 730,445.16/705.99
  6. Step 6: Final answer
    x = 1,034.64

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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.