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Finding the Fourth Proportional to 891.50, 1,337.51 and 429.14

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Solution

The fourth proportional to 891.50, 1,337.51 and 429.14 is: 643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.50 : 1,337.51 = 429.14 : x
  2. Step 2: Convert to fraction form
    891.50/1,337.51 = 429.14/x
  3. Step 3: Cross multiply
    891.50x = 1,337.51 × 429.14
  4. Step 4: Simplify right side
    891.50x = 573,983.46
  5. Step 5: Solve for x
    x = 573,983.46/891.50
  6. Step 6: Final answer
    x = 643.84

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1.5x scale

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.