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Finding the Fourth Proportional to 838.71, 1,157.43 and 507.08

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Solution

The fourth proportional to 838.71, 1,157.43 and 507.08 is: 699.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.71 : 1,157.43 = 507.08 : x
  2. Step 2: Convert to fraction form
    838.71/1,157.43 = 507.08/x
  3. Step 3: Cross multiply
    838.71x = 1,157.43 × 507.08
  4. Step 4: Simplify right side
    838.71x = 586,902.87
  5. Step 5: Solve for x
    x = 586,902.87/838.71
  6. Step 6: Final answer
    x = 699.77

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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.