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Finding the Fourth Proportional to 953.76, 1,429.84 and 377.04

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Solution

The fourth proportional to 953.76, 1,429.84 and 377.04 is: 565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.76 : 1,429.84 = 377.04 : x
  2. Step 2: Convert to fraction form
    953.76/1,429.84 = 377.04/x
  3. Step 3: Cross multiply
    953.76x = 1,429.84 × 377.04
  4. Step 4: Simplify right side
    953.76x = 539,106.87
  5. Step 5: Solve for x
    x = 539,106.87/953.76
  6. Step 6: Final answer
    x = 565.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.