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Finding the Fourth Proportional to 1,367.52, 2,051.28 and 782.16

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Solution

The fourth proportional to 1,367.52, 2,051.28 and 782.16 is: 1,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.52 : 2,051.28 = 782.16 : x
  2. Step 2: Convert to fraction form
    1,367.52/2,051.28 = 782.16/x
  3. Step 3: Cross multiply
    1,367.52x = 2,051.28 × 782.16
  4. Step 4: Simplify right side
    1,367.52x = 1,604,429.16
  5. Step 5: Solve for x
    x = 1,604,429.16/1,367.52
  6. Step 6: Final answer
    x = 1,173.24

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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.