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Finding the Fourth Proportional to 1,009.92, 1,515.80 and 523.28

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Solution

The fourth proportional to 1,009.92, 1,515.80 and 523.28 is: 785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.92 : 1,515.80 = 523.28 : x
  2. Step 2: Convert to fraction form
    1,009.92/1,515.80 = 523.28/x
  3. Step 3: Cross multiply
    1,009.92x = 1,515.80 × 523.28
  4. Step 4: Simplify right side
    1,009.92x = 793,187.82
  5. Step 5: Solve for x
    x = 793,187.82/1,009.92
  6. Step 6: Final answer
    x = 785.40

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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.