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Finding the Fourth Proportional to 1,000.34, 1,500.56 and 351.12

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Solution

The fourth proportional to 1,000.34, 1,500.56 and 351.12 is: 526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.34 : 1,500.56 = 351.12 : x
  2. Step 2: Convert to fraction form
    1,000.34/1,500.56 = 351.12/x
  3. Step 3: Cross multiply
    1,000.34x = 1,500.56 × 351.12
  4. Step 4: Simplify right side
    1,000.34x = 526,876.63
  5. Step 5: Solve for x
    x = 526,876.63/1,000.34
  6. Step 6: Final answer
    x = 526.70

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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.