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Finding the Fourth Proportional to 854.75, 1,176.31 and 776.23

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Solution

The fourth proportional to 854.75, 1,176.31 and 776.23 is: 1,068.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.75 : 1,176.31 = 776.23 : x
  2. Step 2: Convert to fraction form
    854.75/1,176.31 = 776.23/x
  3. Step 3: Cross multiply
    854.75x = 1,176.31 × 776.23
  4. Step 4: Simplify right side
    854.75x = 913,087.11
  5. Step 5: Solve for x
    x = 913,087.11/854.75
  6. Step 6: Final answer
    x = 1,068.25

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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.