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Finding the Fourth Proportional to 1,054.93, 1,581.01 and 917.32

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Solution

The fourth proportional to 1,054.93, 1,581.01 and 917.32 is: 1,374.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.93 : 1,581.01 = 917.32 : x
  2. Step 2: Convert to fraction form
    1,054.93/1,581.01 = 917.32/x
  3. Step 3: Cross multiply
    1,054.93x = 1,581.01 × 917.32
  4. Step 4: Simplify right side
    1,054.93x = 1,450,292.09
  5. Step 5: Solve for x
    x = 1,450,292.09/1,054.93
  6. Step 6: Final answer
    x = 1,374.78

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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.