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Finding the Fourth Proportional to 776.16, 1,164.54 and 289.24

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Solution

The fourth proportional to 776.16, 1,164.54 and 289.24 is: 433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.16 : 1,164.54 = 289.24 : x
  2. Step 2: Convert to fraction form
    776.16/1,164.54 = 289.24/x
  3. Step 3: Cross multiply
    776.16x = 1,164.54 × 289.24
  4. Step 4: Simplify right side
    776.16x = 336,831.55
  5. Step 5: Solve for x
    x = 336,831.55/776.16
  6. Step 6: Final answer
    x = 433.97

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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.