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Finding the Fourth Proportional to 696.72, 1,044.16 and 623.16

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Solution

The fourth proportional to 696.72, 1,044.16 and 623.16 is: 933.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.72 : 1,044.16 = 623.16 : x
  2. Step 2: Convert to fraction form
    696.72/1,044.16 = 623.16/x
  3. Step 3: Cross multiply
    696.72x = 1,044.16 × 623.16
  4. Step 4: Simplify right side
    696.72x = 650,678.75
  5. Step 5: Solve for x
    x = 650,678.75/696.72
  6. Step 6: Final answer
    x = 933.92

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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.