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Finding the Fourth Proportional to 916.63, 1,264.94 and 502.63

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Solution

The fourth proportional to 916.63, 1,264.94 and 502.63 is: 693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.63 : 1,264.94 = 502.63 : x
  2. Step 2: Convert to fraction form
    916.63/1,264.94 = 502.63/x
  3. Step 3: Cross multiply
    916.63x = 1,264.94 × 502.63
  4. Step 4: Simplify right side
    916.63x = 635,796.79
  5. Step 5: Solve for x
    x = 635,796.79/916.63
  6. Step 6: Final answer
    x = 693.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.