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Finding the Fourth Proportional to 1,166.22, 1,610.14 and 812.02

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Solution

The fourth proportional to 1,166.22, 1,610.14 and 812.02 is: 1,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.22 : 1,610.14 = 812.02 : x
  2. Step 2: Convert to fraction form
    1,166.22/1,610.14 = 812.02/x
  3. Step 3: Cross multiply
    1,166.22x = 1,610.14 × 812.02
  4. Step 4: Simplify right side
    1,166.22x = 1,307,465.88
  5. Step 5: Solve for x
    x = 1,307,465.88/1,166.22
  6. Step 6: Final answer
    x = 1,121.11

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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.