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Finding the Fourth Proportional to 1,145.07, 1,717.61 and 414.64

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Solution

The fourth proportional to 1,145.07, 1,717.61 and 414.64 is: 621.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.07 : 1,717.61 = 414.64 : x
  2. Step 2: Convert to fraction form
    1,145.07/1,717.61 = 414.64/x
  3. Step 3: Cross multiply
    1,145.07x = 1,717.61 × 414.64
  4. Step 4: Simplify right side
    1,145.07x = 712,189.81
  5. Step 5: Solve for x
    x = 712,189.81/1,145.07
  6. Step 6: Final answer
    x = 621.96

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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.