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Finding the Fourth Proportional to 776.32, 1,164.40 and 410.72

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Solution

The fourth proportional to 776.32, 1,164.40 and 410.72 is: 616.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.32 : 1,164.40 = 410.72 : x
  2. Step 2: Convert to fraction form
    776.32/1,164.40 = 410.72/x
  3. Step 3: Cross multiply
    776.32x = 1,164.40 × 410.72
  4. Step 4: Simplify right side
    776.32x = 478,242.37
  5. Step 5: Solve for x
    x = 478,242.37/776.32
  6. Step 6: Final answer
    x = 616.04

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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.