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Finding the Fourth Proportional to 1,111.46, 1,532.94 and 1,036.94

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Solution

The fourth proportional to 1,111.46, 1,532.94 and 1,036.94 is: 1,430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.46 : 1,532.94 = 1,036.94 : x
  2. Step 2: Convert to fraction form
    1,111.46/1,532.94 = 1,036.94/x
  3. Step 3: Cross multiply
    1,111.46x = 1,532.94 × 1,036.94
  4. Step 4: Simplify right side
    1,111.46x = 1,589,566.80
  5. Step 5: Solve for x
    x = 1,589,566.80/1,111.46
  6. Step 6: Final answer
    x = 1,430.16

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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.