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Finding the Fourth Proportional to 1,050.81, 1,574.47 and 742.13

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Solution

The fourth proportional to 1,050.81, 1,574.47 and 742.13 is: 1,111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.81 : 1,574.47 = 742.13 : x
  2. Step 2: Convert to fraction form
    1,050.81/1,574.47 = 742.13/x
  3. Step 3: Cross multiply
    1,050.81x = 1,574.47 × 742.13
  4. Step 4: Simplify right side
    1,050.81x = 1,168,460.38
  5. Step 5: Solve for x
    x = 1,168,460.38/1,050.81
  6. Step 6: Final answer
    x = 1,111.97

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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.