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Finding the Fourth Proportional to 940.47, 1,297.59 and 586.25

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Solution

The fourth proportional to 940.47, 1,297.59 and 586.25 is: 808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.47 : 1,297.59 = 586.25 : x
  2. Step 2: Convert to fraction form
    940.47/1,297.59 = 586.25/x
  3. Step 3: Cross multiply
    940.47x = 1,297.59 × 586.25
  4. Step 4: Simplify right side
    940.47x = 760,712.14
  5. Step 5: Solve for x
    x = 760,712.14/940.47
  6. Step 6: Final answer
    x = 808.86

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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.