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Finding the Fourth Proportional to 691.45, 954.14 and 411.77

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Solution

The fourth proportional to 691.45, 954.14 and 411.77 is: 568.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.45 : 954.14 = 411.77 : x
  2. Step 2: Convert to fraction form
    691.45/954.14 = 411.77/x
  3. Step 3: Cross multiply
    691.45x = 954.14 × 411.77
  4. Step 4: Simplify right side
    691.45x = 392,886.55
  5. Step 5: Solve for x
    x = 392,886.55/691.45
  6. Step 6: Final answer
    x = 568.21

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1.5x scale

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.