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Finding the Fourth Proportional to 686.84, 947.84 and 407.08

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Solution

The fourth proportional to 686.84, 947.84 and 407.08 is: 561.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.84 : 947.84 = 407.08 : x
  2. Step 2: Convert to fraction form
    686.84/947.84 = 407.08/x
  3. Step 3: Cross multiply
    686.84x = 947.84 × 407.08
  4. Step 4: Simplify right side
    686.84x = 385,846.71
  5. Step 5: Solve for x
    x = 385,846.71/686.84
  6. Step 6: Final answer
    x = 561.77

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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.