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Finding the Fourth Proportional to 1,054.22, 1,580.81 and 437.81

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Solution

The fourth proportional to 1,054.22, 1,580.81 and 437.81 is: 656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.22 : 1,580.81 = 437.81 : x
  2. Step 2: Convert to fraction form
    1,054.22/1,580.81 = 437.81/x
  3. Step 3: Cross multiply
    1,054.22x = 1,580.81 × 437.81
  4. Step 4: Simplify right side
    1,054.22x = 692,084.33
  5. Step 5: Solve for x
    x = 692,084.33/1,054.22
  6. Step 6: Final answer
    x = 656.49

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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.