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Finding the Fourth Proportional to 1,009.98, 1,512.99 and 523.35

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Solution

The fourth proportional to 1,009.98, 1,512.99 and 523.35 is: 784.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.98 : 1,512.99 = 523.35 : x
  2. Step 2: Convert to fraction form
    1,009.98/1,512.99 = 523.35/x
  3. Step 3: Cross multiply
    1,009.98x = 1,512.99 × 523.35
  4. Step 4: Simplify right side
    1,009.98x = 791,823.32
  5. Step 5: Solve for x
    x = 791,823.32/1,009.98
  6. Step 6: Final answer
    x = 784.00

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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.