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Finding the Fourth Proportional to 1,041.78, 1,437.64 and 599.76

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Solution

The fourth proportional to 1,041.78, 1,437.64 and 599.76 is: 827.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.78 : 1,437.64 = 599.76 : x
  2. Step 2: Convert to fraction form
    1,041.78/1,437.64 = 599.76/x
  3. Step 3: Cross multiply
    1,041.78x = 1,437.64 × 599.76
  4. Step 4: Simplify right side
    1,041.78x = 862,238.97
  5. Step 5: Solve for x
    x = 862,238.97/1,041.78
  6. Step 6: Final answer
    x = 827.66

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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.