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Finding the Fourth Proportional to 691.95, 954.93 and 412.35

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Solution

The fourth proportional to 691.95, 954.93 and 412.35 is: 569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.95 : 954.93 = 412.35 : x
  2. Step 2: Convert to fraction form
    691.95/954.93 = 412.35/x
  3. Step 3: Cross multiply
    691.95x = 954.93 × 412.35
  4. Step 4: Simplify right side
    691.95x = 393,765.39
  5. Step 5: Solve for x
    x = 393,765.39/691.95
  6. Step 6: Final answer
    x = 569.07

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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.