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Finding the Fourth Proportional to 1,150.81, 1,588.44 and 915.17

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Solution

The fourth proportional to 1,150.81, 1,588.44 and 915.17 is: 1,263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.81 : 1,588.44 = 915.17 : x
  2. Step 2: Convert to fraction form
    1,150.81/1,588.44 = 915.17/x
  3. Step 3: Cross multiply
    1,150.81x = 1,588.44 × 915.17
  4. Step 4: Simplify right side
    1,150.81x = 1,453,688.12
  5. Step 5: Solve for x
    x = 1,453,688.12/1,150.81
  6. Step 6: Final answer
    x = 1,263.19

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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.