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Finding the Fourth Proportional to 1,111.32, 1,655.43 and 1,055.16

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Solution

The fourth proportional to 1,111.32, 1,655.43 and 1,055.16 is: 1,571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.32 : 1,655.43 = 1,055.16 : x
  2. Step 2: Convert to fraction form
    1,111.32/1,655.43 = 1,055.16/x
  3. Step 3: Cross multiply
    1,111.32x = 1,655.43 × 1,055.16
  4. Step 4: Simplify right side
    1,111.32x = 1,746,743.52
  5. Step 5: Solve for x
    x = 1,746,743.52/1,111.32
  6. Step 6: Final answer
    x = 1,571.77

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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.