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Finding the Fourth Proportional to 1,623.72, 2,434.80 and 527.46

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Solution

The fourth proportional to 1,623.72, 2,434.80 and 527.46 is: 790.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.72 : 2,434.80 = 527.46 : x
  2. Step 2: Convert to fraction form
    1,623.72/2,434.80 = 527.46/x
  3. Step 3: Cross multiply
    1,623.72x = 2,434.80 × 527.46
  4. Step 4: Simplify right side
    1,623.72x = 1,284,259.61
  5. Step 5: Solve for x
    x = 1,284,259.61/1,623.72
  6. Step 6: Final answer
    x = 790.94

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