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Finding the Fourth Proportional to 770.99, 1,156.65 and 424.14

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Solution

The fourth proportional to 770.99, 1,156.65 and 424.14 is: 636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.99 : 1,156.65 = 424.14 : x
  2. Step 2: Convert to fraction form
    770.99/1,156.65 = 424.14/x
  3. Step 3: Cross multiply
    770.99x = 1,156.65 × 424.14
  4. Step 4: Simplify right side
    770.99x = 490,581.53
  5. Step 5: Solve for x
    x = 490,581.53/770.99
  6. Step 6: Final answer
    x = 636.30

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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.