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Finding the Fourth Proportional to 813.16, 1,226.95 and 777.64

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Solution

The fourth proportional to 813.16, 1,226.95 and 777.64 is: 1,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.16 : 1,226.95 = 777.64 : x
  2. Step 2: Convert to fraction form
    813.16/1,226.95 = 777.64/x
  3. Step 3: Cross multiply
    813.16x = 1,226.95 × 777.64
  4. Step 4: Simplify right side
    813.16x = 954,125.40
  5. Step 5: Solve for x
    x = 954,125.40/813.16
  6. Step 6: Final answer
    x = 1,173.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.