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Finding the Fourth Proportional to 699.19, 1,047.57 and 623.86

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Solution

The fourth proportional to 699.19, 1,047.57 and 623.86 is: 934.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.19 : 1,047.57 = 623.86 : x
  2. Step 2: Convert to fraction form
    699.19/1,047.57 = 623.86/x
  3. Step 3: Cross multiply
    699.19x = 1,047.57 × 623.86
  4. Step 4: Simplify right side
    699.19x = 653,537.02
  5. Step 5: Solve for x
    x = 653,537.02/699.19
  6. Step 6: Final answer
    x = 934.71

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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.