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Finding the Fourth Proportional to 1,146.33, 1,580.61 and 909.81

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Solution

The fourth proportional to 1,146.33, 1,580.61 and 909.81 is: 1,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.33 : 1,580.61 = 909.81 : x
  2. Step 2: Convert to fraction form
    1,146.33/1,580.61 = 909.81/x
  3. Step 3: Cross multiply
    1,146.33x = 1,580.61 × 909.81
  4. Step 4: Simplify right side
    1,146.33x = 1,438,054.78
  5. Step 5: Solve for x
    x = 1,438,054.78/1,146.33
  6. Step 6: Final answer
    x = 1,254.49

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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.