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Finding the Fourth Proportional to 1,155.13, 1,733.61 and 424.93

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Solution

The fourth proportional to 1,155.13, 1,733.61 and 424.93 is: 637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.13 : 1,733.61 = 424.93 : x
  2. Step 2: Convert to fraction form
    1,155.13/1,733.61 = 424.93/x
  3. Step 3: Cross multiply
    1,155.13x = 1,733.61 × 424.93
  4. Step 4: Simplify right side
    1,155.13x = 736,662.90
  5. Step 5: Solve for x
    x = 736,662.90/1,155.13
  6. Step 6: Final answer
    x = 637.73

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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.