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Finding the Fourth Proportional to 1,164.06, 1,737.80 and 1,011.18

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Solution

The fourth proportional to 1,164.06, 1,737.80 and 1,011.18 is: 1,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.06 : 1,737.80 = 1,011.18 : x
  2. Step 2: Convert to fraction form
    1,164.06/1,737.80 = 1,011.18/x
  3. Step 3: Cross multiply
    1,164.06x = 1,737.80 × 1,011.18
  4. Step 4: Simplify right side
    1,164.06x = 1,757,223.55
  5. Step 5: Solve for x
    x = 1,757,223.55/1,164.06
  6. Step 6: Final answer
    x = 1,509.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.