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Finding the Fourth Proportional to 1,030.59, 1,546.16 and 597.38

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Solution

The fourth proportional to 1,030.59, 1,546.16 and 597.38 is: 896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.59 : 1,546.16 = 597.38 : x
  2. Step 2: Convert to fraction form
    1,030.59/1,546.16 = 597.38/x
  3. Step 3: Cross multiply
    1,030.59x = 1,546.16 × 597.38
  4. Step 4: Simplify right side
    1,030.59x = 923,634.34
  5. Step 5: Solve for x
    x = 923,634.34/1,030.59
  6. Step 6: Final answer
    x = 896.22

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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.