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Finding the Fourth Proportional to 696.64, 1,040.01 and 587.28

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Solution

The fourth proportional to 696.64, 1,040.01 and 587.28 is: 876.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.64 : 1,040.01 = 587.28 : x
  2. Step 2: Convert to fraction form
    696.64/1,040.01 = 587.28/x
  3. Step 3: Cross multiply
    696.64x = 1,040.01 × 587.28
  4. Step 4: Simplify right side
    696.64x = 610,777.07
  5. Step 5: Solve for x
    x = 610,777.07/696.64
  6. Step 6: Final answer
    x = 876.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.