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Finding the Fourth Proportional to 1,152.55, 1,580.16 and 1,131.79

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Solution

The fourth proportional to 1,152.55, 1,580.16 and 1,131.79 is: 1,551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.55 : 1,580.16 = 1,131.79 : x
  2. Step 2: Convert to fraction form
    1,152.55/1,580.16 = 1,131.79/x
  3. Step 3: Cross multiply
    1,152.55x = 1,580.16 × 1,131.79
  4. Step 4: Simplify right side
    1,152.55x = 1,788,409.29
  5. Step 5: Solve for x
    x = 1,788,409.29/1,152.55
  6. Step 6: Final answer
    x = 1,551.70

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.