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Finding the Fourth Proportional to 1,001.89, 1,503.56 and 446.74

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Solution

The fourth proportional to 1,001.89, 1,503.56 and 446.74 is: 670.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.89 : 1,503.56 = 446.74 : x
  2. Step 2: Convert to fraction form
    1,001.89/1,503.56 = 446.74/x
  3. Step 3: Cross multiply
    1,001.89x = 1,503.56 × 446.74
  4. Step 4: Simplify right side
    1,001.89x = 671,701.98
  5. Step 5: Solve for x
    x = 671,701.98/1,001.89
  6. Step 6: Final answer
    x = 670.43

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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.