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Finding the Fourth Proportional to 1,174.91, 1,620.66 and 776.58

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Solution

The fourth proportional to 1,174.91, 1,620.66 and 776.58 is: 1,071.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.91 : 1,620.66 = 776.58 : x
  2. Step 2: Convert to fraction form
    1,174.91/1,620.66 = 776.58/x
  3. Step 3: Cross multiply
    1,174.91x = 1,620.66 × 776.58
  4. Step 4: Simplify right side
    1,174.91x = 1,258,574.08
  5. Step 5: Solve for x
    x = 1,258,574.08/1,174.91
  6. Step 6: Final answer
    x = 1,071.21

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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.