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Finding the Fourth Proportional to 853.81, 1,178.01 and 522.32

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Solution

The fourth proportional to 853.81, 1,178.01 and 522.32 is: 720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.81 : 1,178.01 = 522.32 : x
  2. Step 2: Convert to fraction form
    853.81/1,178.01 = 522.32/x
  3. Step 3: Cross multiply
    853.81x = 1,178.01 × 522.32
  4. Step 4: Simplify right side
    853.81x = 615,292.29
  5. Step 5: Solve for x
    x = 615,292.29/853.81
  6. Step 6: Final answer
    x = 720.65

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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.