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Finding the Fourth Proportional to 1,459.88, 2,188.59 and 637.53

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Solution

The fourth proportional to 1,459.88, 2,188.59 and 637.53 is: 955.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.88 : 2,188.59 = 637.53 : x
  2. Step 2: Convert to fraction form
    1,459.88/2,188.59 = 637.53/x
  3. Step 3: Cross multiply
    1,459.88x = 2,188.59 × 637.53
  4. Step 4: Simplify right side
    1,459.88x = 1,395,291.78
  5. Step 5: Solve for x
    x = 1,395,291.78/1,459.88
  6. Step 6: Final answer
    x = 955.76

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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.