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Finding the Fourth Proportional to 900.29, 1,242.45 and 507.44

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Solution

The fourth proportional to 900.29, 1,242.45 and 507.44 is: 700.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.29 : 1,242.45 = 507.44 : x
  2. Step 2: Convert to fraction form
    900.29/1,242.45 = 507.44/x
  3. Step 3: Cross multiply
    900.29x = 1,242.45 × 507.44
  4. Step 4: Simplify right side
    900.29x = 630,471.93
  5. Step 5: Solve for x
    x = 630,471.93/900.29
  6. Step 6: Final answer
    x = 700.30

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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.