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Finding the Fourth Proportional to 1,000.29, 1,500.45 and 828.93

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Solution

The fourth proportional to 1,000.29, 1,500.45 and 828.93 is: 1,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.29 : 1,500.45 = 828.93 : x
  2. Step 2: Convert to fraction form
    1,000.29/1,500.45 = 828.93/x
  3. Step 3: Cross multiply
    1,000.29x = 1,500.45 × 828.93
  4. Step 4: Simplify right side
    1,000.29x = 1,243,768.02
  5. Step 5: Solve for x
    x = 1,243,768.02/1,000.29
  6. Step 6: Final answer
    x = 1,243.41

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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.