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Finding the Fourth Proportional to 1,552.24, 2,328.35 and 730.06

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Solution

The fourth proportional to 1,552.24, 2,328.35 and 730.06 is: 1,095.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.24 : 2,328.35 = 730.06 : x
  2. Step 2: Convert to fraction form
    1,552.24/2,328.35 = 730.06/x
  3. Step 3: Cross multiply
    1,552.24x = 2,328.35 × 730.06
  4. Step 4: Simplify right side
    1,552.24x = 1,699,838.83
  5. Step 5: Solve for x
    x = 1,699,838.83/1,552.24
  6. Step 6: Final answer
    x = 1,095.09

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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.