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Finding the Fourth Proportional to 1,175.48, 1,621.32 and 776.68

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Solution

The fourth proportional to 1,175.48, 1,621.32 and 776.68 is: 1,071.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.48 : 1,621.32 = 776.68 : x
  2. Step 2: Convert to fraction form
    1,175.48/1,621.32 = 776.68/x
  3. Step 3: Cross multiply
    1,175.48x = 1,621.32 × 776.68
  4. Step 4: Simplify right side
    1,175.48x = 1,259,246.82
  5. Step 5: Solve for x
    x = 1,259,246.82/1,175.48
  6. Step 6: Final answer
    x = 1,071.26

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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.