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Finding the Fourth Proportional to 1,041.67, 1,437.50 and 599.71

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Solution

The fourth proportional to 1,041.67, 1,437.50 and 599.71 is: 827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.67 : 1,437.50 = 599.71 : x
  2. Step 2: Convert to fraction form
    1,041.67/1,437.50 = 599.71/x
  3. Step 3: Cross multiply
    1,041.67x = 1,437.50 × 599.71
  4. Step 4: Simplify right side
    1,041.67x = 862,086.42
  5. Step 5: Solve for x
    x = 862,086.42/1,041.67
  6. Step 6: Final answer
    x = 827.60

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Why These Related Problems?

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