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Finding the Fourth Proportional to 1,041.76, 1,437.60 and 599.65

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Solution

The fourth proportional to 1,041.76, 1,437.60 and 599.65 is: 827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.76 : 1,437.60 = 599.65 : x
  2. Step 2: Convert to fraction form
    1,041.76/1,437.60 = 599.65/x
  3. Step 3: Cross multiply
    1,041.76x = 1,437.60 × 599.65
  4. Step 4: Simplify right side
    1,041.76x = 862,056.84
  5. Step 5: Solve for x
    x = 862,056.84/1,041.76
  6. Step 6: Final answer
    x = 827.50

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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.