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Finding the Fourth Proportional to 1,406.56, 2,110.08 and 637.12

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Solution

The fourth proportional to 1,406.56, 2,110.08 and 637.12 is: 955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.56 : 2,110.08 = 637.12 : x
  2. Step 2: Convert to fraction form
    1,406.56/2,110.08 = 637.12/x
  3. Step 3: Cross multiply
    1,406.56x = 2,110.08 × 637.12
  4. Step 4: Simplify right side
    1,406.56x = 1,344,374.17
  5. Step 5: Solve for x
    x = 1,344,374.17/1,406.56
  6. Step 6: Final answer
    x = 955.79

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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.