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Finding the Fourth Proportional to 1,041.66, 1,437.83 and 599.87

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Solution

The fourth proportional to 1,041.66, 1,437.83 and 599.87 is: 828.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.66 : 1,437.83 = 599.87 : x
  2. Step 2: Convert to fraction form
    1,041.66/1,437.83 = 599.87/x
  3. Step 3: Cross multiply
    1,041.66x = 1,437.83 × 599.87
  4. Step 4: Simplify right side
    1,041.66x = 862,500.89
  5. Step 5: Solve for x
    x = 862,500.89/1,041.66
  6. Step 6: Final answer
    x = 828.01

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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.