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Finding the Fourth Proportional to 1,093.02, 1,639.53 and 313.10

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Solution

The fourth proportional to 1,093.02, 1,639.53 and 313.10 is: 469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.02 : 1,639.53 = 313.10 : x
  2. Step 2: Convert to fraction form
    1,093.02/1,639.53 = 313.10/x
  3. Step 3: Cross multiply
    1,093.02x = 1,639.53 × 313.10
  4. Step 4: Simplify right side
    1,093.02x = 513,335.28
  5. Step 5: Solve for x
    x = 513,335.28/1,093.02
  6. Step 6: Final answer
    x = 469.65

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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.