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Finding the Fourth Proportional to 1,135.54, 1,701.18 and 586.36

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Solution

The fourth proportional to 1,135.54, 1,701.18 and 586.36 is: 878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.54 : 1,701.18 = 586.36 : x
  2. Step 2: Convert to fraction form
    1,135.54/1,701.18 = 586.36/x
  3. Step 3: Cross multiply
    1,135.54x = 1,701.18 × 586.36
  4. Step 4: Simplify right side
    1,135.54x = 997,503.90
  5. Step 5: Solve for x
    x = 997,503.90/1,135.54
  6. Step 6: Final answer
    x = 878.44

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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.