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Finding the Fourth Proportional to 1,145.60, 1,718.54 and 415.24

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Solution

The fourth proportional to 1,145.60, 1,718.54 and 415.24 is: 622.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.60 : 1,718.54 = 415.24 : x
  2. Step 2: Convert to fraction form
    1,145.60/1,718.54 = 415.24/x
  3. Step 3: Cross multiply
    1,145.60x = 1,718.54 × 415.24
  4. Step 4: Simplify right side
    1,145.60x = 713,606.55
  5. Step 5: Solve for x
    x = 713,606.55/1,145.60
  6. Step 6: Final answer
    x = 622.91

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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.