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Finding the Fourth Proportional to 1,094.34, 1,509.39 and 815.52

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Solution

The fourth proportional to 1,094.34, 1,509.39 and 815.52 is: 1,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.34 : 1,509.39 = 815.52 : x
  2. Step 2: Convert to fraction form
    1,094.34/1,509.39 = 815.52/x
  3. Step 3: Cross multiply
    1,094.34x = 1,509.39 × 815.52
  4. Step 4: Simplify right side
    1,094.34x = 1,230,937.73
  5. Step 5: Solve for x
    x = 1,230,937.73/1,094.34
  6. Step 6: Final answer
    x = 1,124.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.