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Finding the Fourth Proportional to 687.05, 947.85 and 407.18

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Solution

The fourth proportional to 687.05, 947.85 and 407.18 is: 561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.05 : 947.85 = 407.18 : x
  2. Step 2: Convert to fraction form
    687.05/947.85 = 407.18/x
  3. Step 3: Cross multiply
    687.05x = 947.85 × 407.18
  4. Step 4: Simplify right side
    687.05x = 385,940.82
  5. Step 5: Solve for x
    x = 385,940.82/687.05
  6. Step 6: Final answer
    x = 561.74

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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.