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Finding the Fourth Proportional to 1,422.16, 2,132.52 and 652

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Solution

The fourth proportional to 1,422.16, 2,132.52 and 652 is: 977.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.16 : 2,132.52 = 652 : x
  2. Step 2: Convert to fraction form
    1,422.16/2,132.52 = 652/x
  3. Step 3: Cross multiply
    1,422.16x = 2,132.52 × 652
  4. Step 4: Simplify right side
    1,422.16x = 1,390,403.04
  5. Step 5: Solve for x
    x = 1,390,403.04/1,422.16
  6. Step 6: Final answer
    x = 977.67

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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.