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Finding the Fourth Proportional to 1,087.13, 1,631.03 and 317.63

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Solution

The fourth proportional to 1,087.13, 1,631.03 and 317.63 is: 476.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.13 : 1,631.03 = 317.63 : x
  2. Step 2: Convert to fraction form
    1,087.13/1,631.03 = 317.63/x
  3. Step 3: Cross multiply
    1,087.13x = 1,631.03 × 317.63
  4. Step 4: Simplify right side
    1,087.13x = 518,054.32
  5. Step 5: Solve for x
    x = 518,054.32/1,087.13
  6. Step 6: Final answer
    x = 476.54

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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.