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Finding the Fourth Proportional to 713.03, 983.93 and 414.14

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Solution

The fourth proportional to 713.03, 983.93 and 414.14 is: 571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.03 : 983.93 = 414.14 : x
  2. Step 2: Convert to fraction form
    713.03/983.93 = 414.14/x
  3. Step 3: Cross multiply
    713.03x = 983.93 × 414.14
  4. Step 4: Simplify right side
    713.03x = 407,477.78
  5. Step 5: Solve for x
    x = 407,477.78/713.03
  6. Step 6: Final answer
    x = 571.48

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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.