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Finding the Fourth Proportional to 686.89, 947.98 and 407.17

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Solution

The fourth proportional to 686.89, 947.98 and 407.17 is: 561.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.89 : 947.98 = 407.17 : x
  2. Step 2: Convert to fraction form
    686.89/947.98 = 407.17/x
  3. Step 3: Cross multiply
    686.89x = 947.98 × 407.17
  4. Step 4: Simplify right side
    686.89x = 385,988.00
  5. Step 5: Solve for x
    x = 385,988.00/686.89
  6. Step 6: Final answer
    x = 561.94

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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.