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Finding the Fourth Proportional to 1,207.08, 1,810.68 and 513.81

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Solution

The fourth proportional to 1,207.08, 1,810.68 and 513.81 is: 770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.08 : 1,810.68 = 513.81 : x
  2. Step 2: Convert to fraction form
    1,207.08/1,810.68 = 513.81/x
  3. Step 3: Cross multiply
    1,207.08x = 1,810.68 × 513.81
  4. Step 4: Simplify right side
    1,207.08x = 930,345.49
  5. Step 5: Solve for x
    x = 930,345.49/1,207.08
  6. Step 6: Final answer
    x = 770.74

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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.