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Finding the Fourth Proportional to 900.49, 1,242.69 and 507.52

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Solution

The fourth proportional to 900.49, 1,242.69 and 507.52 is: 700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.49 : 1,242.69 = 507.52 : x
  2. Step 2: Convert to fraction form
    900.49/1,242.69 = 507.52/x
  3. Step 3: Cross multiply
    900.49x = 1,242.69 × 507.52
  4. Step 4: Simplify right side
    900.49x = 630,685.54
  5. Step 5: Solve for x
    x = 630,685.54/900.49
  6. Step 6: Final answer
    x = 700.38

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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.