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Finding the Fourth Proportional to 810.83, 1,118.44 and 562.16

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Solution

The fourth proportional to 810.83, 1,118.44 and 562.16 is: 775.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.83 : 1,118.44 = 562.16 : x
  2. Step 2: Convert to fraction form
    810.83/1,118.44 = 562.16/x
  3. Step 3: Cross multiply
    810.83x = 1,118.44 × 562.16
  4. Step 4: Simplify right side
    810.83x = 628,742.23
  5. Step 5: Solve for x
    x = 628,742.23/810.83
  6. Step 6: Final answer
    x = 775.43

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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.