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Finding the Fourth Proportional to 1,053.87, 1,454.43 and 581.86

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Solution

The fourth proportional to 1,053.87, 1,454.43 and 581.86 is: 803.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.87 : 1,454.43 = 581.86 : x
  2. Step 2: Convert to fraction form
    1,053.87/1,454.43 = 581.86/x
  3. Step 3: Cross multiply
    1,053.87x = 1,454.43 × 581.86
  4. Step 4: Simplify right side
    1,053.87x = 846,274.64
  5. Step 5: Solve for x
    x = 846,274.64/1,053.87
  6. Step 6: Final answer
    x = 803.02

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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.