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Finding the Fourth Proportional to 1,101.16, 1,651.76 and 895.22

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Solution

The fourth proportional to 1,101.16, 1,651.76 and 895.22 is: 1,342.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.16 : 1,651.76 = 895.22 : x
  2. Step 2: Convert to fraction form
    1,101.16/1,651.76 = 895.22/x
  3. Step 3: Cross multiply
    1,101.16x = 1,651.76 × 895.22
  4. Step 4: Simplify right side
    1,101.16x = 1,478,685.40
  5. Step 5: Solve for x
    x = 1,478,685.40/1,101.16
  6. Step 6: Final answer
    x = 1,342.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.