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Finding the Fourth Proportional to 1,207.56, 1,810.96 and 630.12

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Solution

The fourth proportional to 1,207.56, 1,810.96 and 630.12 is: 944.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.56 : 1,810.96 = 630.12 : x
  2. Step 2: Convert to fraction form
    1,207.56/1,810.96 = 630.12/x
  3. Step 3: Cross multiply
    1,207.56x = 1,810.96 × 630.12
  4. Step 4: Simplify right side
    1,207.56x = 1,141,122.12
  5. Step 5: Solve for x
    x = 1,141,122.12/1,207.56
  6. Step 6: Final answer
    x = 944.98

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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.