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Finding the Fourth Proportional to 900.30, 1,242.41 and 502.00

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Solution

The fourth proportional to 900.30, 1,242.41 and 502.00 is: 692.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.30 : 1,242.41 = 502.00 : x
  2. Step 2: Convert to fraction form
    900.30/1,242.41 = 502.00/x
  3. Step 3: Cross multiply
    900.30x = 1,242.41 × 502.00
  4. Step 4: Simplify right side
    900.30x = 623,688.44
  5. Step 5: Solve for x
    x = 623,688.44/900.30
  6. Step 6: Final answer
    x = 692.76

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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.