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Finding the Fourth Proportional to 1,054.15, 1,581.16 and 437.71

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Solution

The fourth proportional to 1,054.15, 1,581.16 and 437.71 is: 656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.15 : 1,581.16 = 437.71 : x
  2. Step 2: Convert to fraction form
    1,054.15/1,581.16 = 437.71/x
  3. Step 3: Cross multiply
    1,054.15x = 1,581.16 × 437.71
  4. Step 4: Simplify right side
    1,054.15x = 692,089.54
  5. Step 5: Solve for x
    x = 692,089.54/1,054.15
  6. Step 6: Final answer
    x = 656.54

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Why These Related Problems?

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