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Finding the Fourth Proportional to 770.48, 1,156.14 and 446.48

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Solution

The fourth proportional to 770.48, 1,156.14 and 446.48 is: 669.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.48 : 1,156.14 = 446.48 : x
  2. Step 2: Convert to fraction form
    770.48/1,156.14 = 446.48/x
  3. Step 3: Cross multiply
    770.48x = 1,156.14 × 446.48
  4. Step 4: Simplify right side
    770.48x = 516,193.39
  5. Step 5: Solve for x
    x = 516,193.39/770.48
  6. Step 6: Final answer
    x = 669.96

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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.