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Finding the Fourth Proportional to 777.62, 1,164.84 and 484.16

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Solution

The fourth proportional to 777.62, 1,164.84 and 484.16 is: 725.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.62 : 1,164.84 = 484.16 : x
  2. Step 2: Convert to fraction form
    777.62/1,164.84 = 484.16/x
  3. Step 3: Cross multiply
    777.62x = 1,164.84 × 484.16
  4. Step 4: Simplify right side
    777.62x = 563,968.93
  5. Step 5: Solve for x
    x = 563,968.93/777.62
  6. Step 6: Final answer
    x = 725.25

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1.5x scale

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.