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Finding the Fourth Proportional to 1,623.69, 2,434.73 and 527.36

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Solution

The fourth proportional to 1,623.69, 2,434.73 and 527.36 is: 790.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.69 : 2,434.73 = 527.36 : x
  2. Step 2: Convert to fraction form
    1,623.69/2,434.73 = 527.36/x
  3. Step 3: Cross multiply
    1,623.69x = 2,434.73 × 527.36
  4. Step 4: Simplify right side
    1,623.69x = 1,283,964.40
  5. Step 5: Solve for x
    x = 1,283,964.40/1,623.69
  6. Step 6: Final answer
    x = 790.77

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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.