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Finding the Fourth Proportional to 1,032.46, 1,549.59 and 599.02

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Solution

The fourth proportional to 1,032.46, 1,549.59 and 599.02 is: 899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.46 : 1,549.59 = 599.02 : x
  2. Step 2: Convert to fraction form
    1,032.46/1,549.59 = 599.02/x
  3. Step 3: Cross multiply
    1,032.46x = 1,549.59 × 599.02
  4. Step 4: Simplify right side
    1,032.46x = 928,235.40
  5. Step 5: Solve for x
    x = 928,235.40/1,032.46
  6. Step 6: Final answer
    x = 899.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.