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Finding the Fourth Proportional to 1,041.85, 1,437.75 and 599.75

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Solution

The fourth proportional to 1,041.85, 1,437.75 and 599.75 is: 827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.85 : 1,437.75 = 599.75 : x
  2. Step 2: Convert to fraction form
    1,041.85/1,437.75 = 599.75/x
  3. Step 3: Cross multiply
    1,041.85x = 1,437.75 × 599.75
  4. Step 4: Simplify right side
    1,041.85x = 862,283.37
  5. Step 5: Solve for x
    x = 862,283.37/1,041.85
  6. Step 6: Final answer
    x = 827.65

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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.