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Finding the Fourth Proportional to 1,156.69, 1,733.95 and 426.07

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Solution

The fourth proportional to 1,156.69, 1,733.95 and 426.07 is: 638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.69 : 1,733.95 = 426.07 : x
  2. Step 2: Convert to fraction form
    1,156.69/1,733.95 = 426.07/x
  3. Step 3: Cross multiply
    1,156.69x = 1,733.95 × 426.07
  4. Step 4: Simplify right side
    1,156.69x = 738,784.08
  5. Step 5: Solve for x
    x = 738,784.08/1,156.69
  6. Step 6: Final answer
    x = 638.71

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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.