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Finding the Fourth Proportional to 854.36, 1,178.50 and 522.92

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Solution

The fourth proportional to 854.36, 1,178.50 and 522.92 is: 721.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.36 : 1,178.50 = 522.92 : x
  2. Step 2: Convert to fraction form
    854.36/1,178.50 = 522.92/x
  3. Step 3: Cross multiply
    854.36x = 1,178.50 × 522.92
  4. Step 4: Simplify right side
    854.36x = 616,261.22
  5. Step 5: Solve for x
    x = 616,261.22/854.36
  6. Step 6: Final answer
    x = 721.31

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Double scale
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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.