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Finding the Fourth Proportional to 1,005.81, 1,388.10 and 580.58

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Solution

The fourth proportional to 1,005.81, 1,388.10 and 580.58 is: 801.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.81 : 1,388.10 = 580.58 : x
  2. Step 2: Convert to fraction form
    1,005.81/1,388.10 = 580.58/x
  3. Step 3: Cross multiply
    1,005.81x = 1,388.10 × 580.58
  4. Step 4: Simplify right side
    1,005.81x = 805,903.10
  5. Step 5: Solve for x
    x = 805,903.10/1,005.81
  6. Step 6: Final answer
    x = 801.25

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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.