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Finding the Fourth Proportional to 940.30, 1,297.59 and 514.93

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Solution

The fourth proportional to 940.30, 1,297.59 and 514.93 is: 710.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.30 : 1,297.59 = 514.93 : x
  2. Step 2: Convert to fraction form
    940.30/1,297.59 = 514.93/x
  3. Step 3: Cross multiply
    940.30x = 1,297.59 × 514.93
  4. Step 4: Simplify right side
    940.30x = 668,161.53
  5. Step 5: Solve for x
    x = 668,161.53/940.30
  6. Step 6: Final answer
    x = 710.58

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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.