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Finding the Fourth Proportional to 1,076.48, 1,615.43 and 589.87

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Solution

The fourth proportional to 1,076.48, 1,615.43 and 589.87 is: 885.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.48 : 1,615.43 = 589.87 : x
  2. Step 2: Convert to fraction form
    1,076.48/1,615.43 = 589.87/x
  3. Step 3: Cross multiply
    1,076.48x = 1,615.43 × 589.87
  4. Step 4: Simplify right side
    1,076.48x = 952,897.00
  5. Step 5: Solve for x
    x = 952,897.00/1,076.48
  6. Step 6: Final answer
    x = 885.20

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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.