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Finding the Fourth Proportional to 1,001.84, 1,501.38 and 513.86

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Solution

The fourth proportional to 1,001.84, 1,501.38 and 513.86 is: 770.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.84 : 1,501.38 = 513.86 : x
  2. Step 2: Convert to fraction form
    1,001.84/1,501.38 = 513.86/x
  3. Step 3: Cross multiply
    1,001.84x = 1,501.38 × 513.86
  4. Step 4: Simplify right side
    1,001.84x = 771,491.62
  5. Step 5: Solve for x
    x = 771,491.62/1,001.84
  6. Step 6: Final answer
    x = 770.08

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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.