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Finding the Fourth Proportional to 770.01, 1,154.99 and 307.65

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Solution

The fourth proportional to 770.01, 1,154.99 and 307.65 is: 461.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.01 : 1,154.99 = 307.65 : x
  2. Step 2: Convert to fraction form
    770.01/1,154.99 = 307.65/x
  3. Step 3: Cross multiply
    770.01x = 1,154.99 × 307.65
  4. Step 4: Simplify right side
    770.01x = 355,331.14
  5. Step 5: Solve for x
    x = 355,331.14/770.01
  6. Step 6: Final answer
    x = 461.46

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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.