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Finding the Fourth Proportional to 711.42, 981.56 and 459.24

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Solution

The fourth proportional to 711.42, 981.56 and 459.24 is: 633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.42 : 981.56 = 459.24 : x
  2. Step 2: Convert to fraction form
    711.42/981.56 = 459.24/x
  3. Step 3: Cross multiply
    711.42x = 981.56 × 459.24
  4. Step 4: Simplify right side
    711.42x = 450,769.32
  5. Step 5: Solve for x
    x = 450,769.32/711.42
  6. Step 6: Final answer
    x = 633.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.