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Finding the Fourth Proportional to 1,155.48, 1,733.70 and 506.34

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Solution

The fourth proportional to 1,155.48, 1,733.70 and 506.34 is: 759.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.48 : 1,733.70 = 506.34 : x
  2. Step 2: Convert to fraction form
    1,155.48/1,733.70 = 506.34/x
  3. Step 3: Cross multiply
    1,155.48x = 1,733.70 × 506.34
  4. Step 4: Simplify right side
    1,155.48x = 877,841.66
  5. Step 5: Solve for x
    x = 877,841.66/1,155.48
  6. Step 6: Final answer
    x = 759.72

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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.