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Finding the Fourth Proportional to 1,055.71, 1,581.06 and 535.06

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Solution

The fourth proportional to 1,055.71, 1,581.06 and 535.06 is: 801.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.71 : 1,581.06 = 535.06 : x
  2. Step 2: Convert to fraction form
    1,055.71/1,581.06 = 535.06/x
  3. Step 3: Cross multiply
    1,055.71x = 1,581.06 × 535.06
  4. Step 4: Simplify right side
    1,055.71x = 845,961.96
  5. Step 5: Solve for x
    x = 845,961.96/1,055.71
  6. Step 6: Final answer
    x = 801.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.