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Finding the Fourth Proportional to 838.98, 1,157.63 and 507.42

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Solution

The fourth proportional to 838.98, 1,157.63 and 507.42 is: 700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.98 : 1,157.63 = 507.42 : x
  2. Step 2: Convert to fraction form
    838.98/1,157.63 = 507.42/x
  3. Step 3: Cross multiply
    838.98x = 1,157.63 × 507.42
  4. Step 4: Simplify right side
    838.98x = 587,402.08
  5. Step 5: Solve for x
    x = 587,402.08/838.98
  6. Step 6: Final answer
    x = 700.14

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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.