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Finding the Fourth Proportional to 813.68, 1,113.22 and 810.22

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Solution

The fourth proportional to 813.68, 1,113.22 and 810.22 is: 1,108.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.68 : 1,113.22 = 810.22 : x
  2. Step 2: Convert to fraction form
    813.68/1,113.22 = 810.22/x
  3. Step 3: Cross multiply
    813.68x = 1,113.22 × 810.22
  4. Step 4: Simplify right side
    813.68x = 901,953.11
  5. Step 5: Solve for x
    x = 901,953.11/813.68
  6. Step 6: Final answer
    x = 1,108.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.