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Finding the Fourth Proportional to 1,054.32, 1,581.12 and 437.69

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Solution

The fourth proportional to 1,054.32, 1,581.12 and 437.69 is: 656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.32 : 1,581.12 = 437.69 : x
  2. Step 2: Convert to fraction form
    1,054.32/1,581.12 = 437.69/x
  3. Step 3: Cross multiply
    1,054.32x = 1,581.12 × 437.69
  4. Step 4: Simplify right side
    1,054.32x = 692,032.51
  5. Step 5: Solve for x
    x = 692,032.51/1,054.32
  6. Step 6: Final answer
    x = 656.38

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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.