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Finding the Fourth Proportional to 1,153.40, 1,730.10 and 1,028.60

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Solution

The fourth proportional to 1,153.40, 1,730.10 and 1,028.60 is: 1,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.40 : 1,730.10 = 1,028.60 : x
  2. Step 2: Convert to fraction form
    1,153.40/1,730.10 = 1,028.60/x
  3. Step 3: Cross multiply
    1,153.40x = 1,730.10 × 1,028.60
  4. Step 4: Simplify right side
    1,153.40x = 1,779,580.86
  5. Step 5: Solve for x
    x = 1,779,580.86/1,153.40
  6. Step 6: Final answer
    x = 1,542.90

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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.