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Finding the Fourth Proportional to 1,041.71, 1,437.90 and 599.72

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Solution

The fourth proportional to 1,041.71, 1,437.90 and 599.72 is: 827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.71 : 1,437.90 = 599.72 : x
  2. Step 2: Convert to fraction form
    1,041.71/1,437.90 = 599.72/x
  3. Step 3: Cross multiply
    1,041.71x = 1,437.90 × 599.72
  4. Step 4: Simplify right side
    1,041.71x = 862,336.72
  5. Step 5: Solve for x
    x = 862,336.72/1,041.71
  6. Step 6: Final answer
    x = 827.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.