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Finding the Fourth Proportional to 924.54, 1,386 and 777.96

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Solution

The fourth proportional to 924.54, 1,386 and 777.96 is: 1,166.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.54 : 1,386 = 777.96 : x
  2. Step 2: Convert to fraction form
    924.54/1,386 = 777.96/x
  3. Step 3: Cross multiply
    924.54x = 1,386 × 777.96
  4. Step 4: Simplify right side
    924.54x = 1,078,252.56
  5. Step 5: Solve for x
    x = 1,078,252.56/924.54
  6. Step 6: Final answer
    x = 1,166.26

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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.