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Finding the Fourth Proportional to 1,062.76, 1,594.12 and 293.28

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Solution

The fourth proportional to 1,062.76, 1,594.12 and 293.28 is: 439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.76 : 1,594.12 = 293.28 : x
  2. Step 2: Convert to fraction form
    1,062.76/1,594.12 = 293.28/x
  3. Step 3: Cross multiply
    1,062.76x = 1,594.12 × 293.28
  4. Step 4: Simplify right side
    1,062.76x = 467,523.51
  5. Step 5: Solve for x
    x = 467,523.51/1,062.76
  6. Step 6: Final answer
    x = 439.91

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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.