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Finding the Fourth Proportional to 1,145.29, 1,580.51 and 621.32

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Solution

The fourth proportional to 1,145.29, 1,580.51 and 621.32 is: 857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.29 : 1,580.51 = 621.32 : x
  2. Step 2: Convert to fraction form
    1,145.29/1,580.51 = 621.32/x
  3. Step 3: Cross multiply
    1,145.29x = 1,580.51 × 621.32
  4. Step 4: Simplify right side
    1,145.29x = 981,999.37
  5. Step 5: Solve for x
    x = 981,999.37/1,145.29
  6. Step 6: Final answer
    x = 857.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.