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Finding the Fourth Proportional to 691.86, 954.81 and 381.36

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Solution

The fourth proportional to 691.86, 954.81 and 381.36 is: 526.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.86 : 954.81 = 381.36 : x
  2. Step 2: Convert to fraction form
    691.86/954.81 = 381.36/x
  3. Step 3: Cross multiply
    691.86x = 954.81 × 381.36
  4. Step 4: Simplify right side
    691.86x = 364,126.34
  5. Step 5: Solve for x
    x = 364,126.34/691.86
  6. Step 6: Final answer
    x = 526.30

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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.