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Finding the Fourth Proportional to 696.66, 1,040.00 and 592.83

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Solution

The fourth proportional to 696.66, 1,040.00 and 592.83 is: 884.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.66 : 1,040.00 = 592.83 : x
  2. Step 2: Convert to fraction form
    696.66/1,040.00 = 592.83/x
  3. Step 3: Cross multiply
    696.66x = 1,040.00 × 592.83
  4. Step 4: Simplify right side
    696.66x = 616,540.24
  5. Step 5: Solve for x
    x = 616,540.24/696.66
  6. Step 6: Final answer
    x = 884.99

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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.