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Finding the Fourth Proportional to 1,317.82, 1,977.03 and 452.13

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Solution

The fourth proportional to 1,317.82, 1,977.03 and 452.13 is: 678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.82 : 1,977.03 = 452.13 : x
  2. Step 2: Convert to fraction form
    1,317.82/1,977.03 = 452.13/x
  3. Step 3: Cross multiply
    1,317.82x = 1,977.03 × 452.13
  4. Step 4: Simplify right side
    1,317.82x = 893,862.43
  5. Step 5: Solve for x
    x = 893,862.43/1,317.82
  6. Step 6: Final answer
    x = 678.29

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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.