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Finding the Fourth Proportional to 1,177.32, 1,622.47 and 845.18

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Solution

The fourth proportional to 1,177.32, 1,622.47 and 845.18 is: 1,164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.32 : 1,622.47 = 845.18 : x
  2. Step 2: Convert to fraction form
    1,177.32/1,622.47 = 845.18/x
  3. Step 3: Cross multiply
    1,177.32x = 1,622.47 × 845.18
  4. Step 4: Simplify right side
    1,177.32x = 1,371,266.86
  5. Step 5: Solve for x
    x = 1,371,266.86/1,177.32
  6. Step 6: Final answer
    x = 1,164.74

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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.