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Finding the Fourth Proportional to 1,160.02, 1,740.03 and 672.80

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Solution

The fourth proportional to 1,160.02, 1,740.03 and 672.80 is: 1,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.02 : 1,740.03 = 672.80 : x
  2. Step 2: Convert to fraction form
    1,160.02/1,740.03 = 672.80/x
  3. Step 3: Cross multiply
    1,160.02x = 1,740.03 × 672.80
  4. Step 4: Simplify right side
    1,160.02x = 1,170,692.18
  5. Step 5: Solve for x
    x = 1,170,692.18/1,160.02
  6. Step 6: Final answer
    x = 1,009.20

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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.