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Finding the Fourth Proportional to 769.77, 1,154.66 and 384.93

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Solution

The fourth proportional to 769.77, 1,154.66 and 384.93 is: 577.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.77 : 1,154.66 = 384.93 : x
  2. Step 2: Convert to fraction form
    769.77/1,154.66 = 384.93/x
  3. Step 3: Cross multiply
    769.77x = 1,154.66 × 384.93
  4. Step 4: Simplify right side
    769.77x = 444,461.35
  5. Step 5: Solve for x
    x = 444,461.35/769.77
  6. Step 6: Final answer
    x = 577.40

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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.