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Finding the Fourth Proportional to 1,093.24, 1,639.70 and 352.93

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Solution

The fourth proportional to 1,093.24, 1,639.70 and 352.93 is: 529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.24 : 1,639.70 = 352.93 : x
  2. Step 2: Convert to fraction form
    1,093.24/1,639.70 = 352.93/x
  3. Step 3: Cross multiply
    1,093.24x = 1,639.70 × 352.93
  4. Step 4: Simplify right side
    1,093.24x = 578,699.32
  5. Step 5: Solve for x
    x = 578,699.32/1,093.24
  6. Step 6: Final answer
    x = 529.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.