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Finding the Fourth Proportional to 1,686.51, 2,529.76 and 784.82

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Solution

The fourth proportional to 1,686.51, 2,529.76 and 784.82 is: 1,177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.51 : 2,529.76 = 784.82 : x
  2. Step 2: Convert to fraction form
    1,686.51/2,529.76 = 784.82/x
  3. Step 3: Cross multiply
    1,686.51x = 2,529.76 × 784.82
  4. Step 4: Simplify right side
    1,686.51x = 1,985,406.24
  5. Step 5: Solve for x
    x = 1,985,406.24/1,686.51
  6. Step 6: Final answer
    x = 1,177.23

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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.