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Finding the Fourth Proportional to 1,118.50, 1,543.53 and 652.75

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Solution

The fourth proportional to 1,118.50, 1,543.53 and 652.75 is: 900.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.50 : 1,543.53 = 652.75 : x
  2. Step 2: Convert to fraction form
    1,118.50/1,543.53 = 652.75/x
  3. Step 3: Cross multiply
    1,118.50x = 1,543.53 × 652.75
  4. Step 4: Simplify right side
    1,118.50x = 1,007,539.21
  5. Step 5: Solve for x
    x = 1,007,539.21/1,118.50
  6. Step 6: Final answer
    x = 900.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.