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Finding the Fourth Proportional to 940.13, 1,297.10 and 586.10

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Solution

The fourth proportional to 940.13, 1,297.10 and 586.10 is: 808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.13 : 1,297.10 = 586.10 : x
  2. Step 2: Convert to fraction form
    940.13/1,297.10 = 586.10/x
  3. Step 3: Cross multiply
    940.13x = 1,297.10 × 586.10
  4. Step 4: Simplify right side
    940.13x = 760,220.89
  5. Step 5: Solve for x
    x = 760,220.89/940.13
  6. Step 6: Final answer
    x = 808.64

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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.