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Finding the Fourth Proportional to 1,145.69, 1,717.67 and 560.51

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Solution

The fourth proportional to 1,145.69, 1,717.67 and 560.51 is: 840.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.69 : 1,717.67 = 560.51 : x
  2. Step 2: Convert to fraction form
    1,145.69/1,717.67 = 560.51/x
  3. Step 3: Cross multiply
    1,145.69x = 1,717.67 × 560.51
  4. Step 4: Simplify right side
    1,145.69x = 962,764.02
  5. Step 5: Solve for x
    x = 962,764.02/1,145.69
  6. Step 6: Final answer
    x = 840.34

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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.