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Finding the Fourth Proportional to 1,302.88, 1,797.28 and 805.12

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Solution

The fourth proportional to 1,302.88, 1,797.28 and 805.12 is: 1,110.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.88 : 1,797.28 = 805.12 : x
  2. Step 2: Convert to fraction form
    1,302.88/1,797.28 = 805.12/x
  3. Step 3: Cross multiply
    1,302.88x = 1,797.28 × 805.12
  4. Step 4: Simplify right side
    1,302.88x = 1,447,026.07
  5. Step 5: Solve for x
    x = 1,447,026.07/1,302.88
  6. Step 6: Final answer
    x = 1,110.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.