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Finding the Fourth Proportional to 675.20, 914.40 and 675.20

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Solution

The fourth proportional to 675.20, 914.40 and 675.20 is: 914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.20 : 914.40 = 675.20 : x
  2. Step 2: Convert to fraction form
    675.20/914.40 = 675.20/x
  3. Step 3: Cross multiply
    675.20x = 914.40 × 675.20
  4. Step 4: Simplify right side
    675.20x = 617,402.88
  5. Step 5: Solve for x
    x = 617,402.88/675.20
  6. Step 6: Final answer
    x = 914.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.