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Finding the Fourth Proportional to 1,145.58, 1,580.93 and 621.61

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Solution

The fourth proportional to 1,145.58, 1,580.93 and 621.61 is: 857.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.58 : 1,580.93 = 621.61 : x
  2. Step 2: Convert to fraction form
    1,145.58/1,580.93 = 621.61/x
  3. Step 3: Cross multiply
    1,145.58x = 1,580.93 × 621.61
  4. Step 4: Simplify right side
    1,145.58x = 982,727.40
  5. Step 5: Solve for x
    x = 982,727.40/1,145.58
  6. Step 6: Final answer
    x = 857.84

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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.