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Finding the Fourth Proportional to 1,032.46, 1,548.70 and 599.38

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Solution

The fourth proportional to 1,032.46, 1,548.70 and 599.38 is: 899.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.46 : 1,548.70 = 599.38 : x
  2. Step 2: Convert to fraction form
    1,032.46/1,548.70 = 599.38/x
  3. Step 3: Cross multiply
    1,032.46x = 1,548.70 × 599.38
  4. Step 4: Simplify right side
    1,032.46x = 928,259.81
  5. Step 5: Solve for x
    x = 928,259.81/1,032.46
  6. Step 6: Final answer
    x = 899.08

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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.