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Finding the Fourth Proportional to 1,145.65, 1,580.99 and 621.68

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Solution

The fourth proportional to 1,145.65, 1,580.99 and 621.68 is: 857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.65 : 1,580.99 = 621.68 : x
  2. Step 2: Convert to fraction form
    1,145.65/1,580.99 = 621.68/x
  3. Step 3: Cross multiply
    1,145.65x = 1,580.99 × 621.68
  4. Step 4: Simplify right side
    1,145.65x = 982,869.86
  5. Step 5: Solve for x
    x = 982,869.86/1,145.65
  6. Step 6: Final answer
    x = 857.91

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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.