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Finding the Fourth Proportional to 1,490.38, 2,235.63 and 503.30

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Solution

The fourth proportional to 1,490.38, 2,235.63 and 503.30 is: 754.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.38 : 2,235.63 = 503.30 : x
  2. Step 2: Convert to fraction form
    1,490.38/2,235.63 = 503.30/x
  3. Step 3: Cross multiply
    1,490.38x = 2,235.63 × 503.30
  4. Step 4: Simplify right side
    1,490.38x = 1,125,192.58
  5. Step 5: Solve for x
    x = 1,125,192.58/1,490.38
  6. Step 6: Final answer
    x = 754.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.