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Finding the Fourth Proportional to 1,459.71, 2,189.57 and 637.16

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Solution

The fourth proportional to 1,459.71, 2,189.57 and 637.16 is: 955.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.71 : 2,189.57 = 637.16 : x
  2. Step 2: Convert to fraction form
    1,459.71/2,189.57 = 637.16/x
  3. Step 3: Cross multiply
    1,459.71x = 2,189.57 × 637.16
  4. Step 4: Simplify right side
    1,459.71x = 1,395,092.29
  5. Step 5: Solve for x
    x = 1,395,092.29/1,459.71
  6. Step 6: Final answer
    x = 955.73

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1.5x scale

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.