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Finding the Fourth Proportional to 1,007.44, 1,390.23 and 587.80

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Solution

The fourth proportional to 1,007.44, 1,390.23 and 587.80 is: 811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.44 : 1,390.23 = 587.80 : x
  2. Step 2: Convert to fraction form
    1,007.44/1,390.23 = 587.80/x
  3. Step 3: Cross multiply
    1,007.44x = 1,390.23 × 587.80
  4. Step 4: Simplify right side
    1,007.44x = 817,177.19
  5. Step 5: Solve for x
    x = 817,177.19/1,007.44
  6. Step 6: Final answer
    x = 811.14

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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.