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Finding the Fourth Proportional to 770, 1,154.75 and 307.64

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Solution

The fourth proportional to 770, 1,154.75 and 307.64 is: 461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    770 : 1,154.75 = 307.64 : x
  2. Step 2: Convert to fraction form
    770/1,154.75 = 307.64/x
  3. Step 3: Cross multiply
    770x = 1,154.75 × 307.64
  4. Step 4: Simplify right side
    770x = 355,239.98
  5. Step 5: Solve for x
    x = 355,239.98/770
  6. Step 6: Final answer
    x = 461.35

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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.