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Finding the Fourth Proportional to 1,222.50, 1,829.49 and 1,000.56

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Solution

The fourth proportional to 1,222.50, 1,829.49 and 1,000.56 is: 1,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.50 : 1,829.49 = 1,000.56 : x
  2. Step 2: Convert to fraction form
    1,222.50/1,829.49 = 1,000.56/x
  3. Step 3: Cross multiply
    1,222.50x = 1,829.49 × 1,000.56
  4. Step 4: Simplify right side
    1,222.50x = 1,830,514.51
  5. Step 5: Solve for x
    x = 1,830,514.51/1,222.50
  6. Step 6: Final answer
    x = 1,497.35

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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.