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Finding the Fourth Proportional to 854.85, 1,178.88 and 518.70

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Solution

The fourth proportional to 854.85, 1,178.88 and 518.70 is: 715.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.85 : 1,178.88 = 518.70 : x
  2. Step 2: Convert to fraction form
    854.85/1,178.88 = 518.70/x
  3. Step 3: Cross multiply
    854.85x = 1,178.88 × 518.70
  4. Step 4: Simplify right side
    854.85x = 611,485.06
  5. Step 5: Solve for x
    x = 611,485.06/854.85
  6. Step 6: Final answer
    x = 715.31

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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.