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Finding the Fourth Proportional to 691.77, 954.64 and 381.27

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Solution

The fourth proportional to 691.77, 954.64 and 381.27 is: 526.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.77 : 954.64 = 381.27 : x
  2. Step 2: Convert to fraction form
    691.77/954.64 = 381.27/x
  3. Step 3: Cross multiply
    691.77x = 954.64 × 381.27
  4. Step 4: Simplify right side
    691.77x = 363,976.55
  5. Step 5: Solve for x
    x = 363,976.55/691.77
  6. Step 6: Final answer
    x = 526.15

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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.