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Finding the Fourth Proportional to 1,314.05, 1,971.30 and 583.62

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Solution

The fourth proportional to 1,314.05, 1,971.30 and 583.62 is: 875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.05 : 1,971.30 = 583.62 : x
  2. Step 2: Convert to fraction form
    1,314.05/1,971.30 = 583.62/x
  3. Step 3: Cross multiply
    1,314.05x = 1,971.30 × 583.62
  4. Step 4: Simplify right side
    1,314.05x = 1,150,490.11
  5. Step 5: Solve for x
    x = 1,150,490.11/1,314.05
  6. Step 6: Final answer
    x = 875.53

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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.