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Finding the Fourth Proportional to 1,304.88, 1,957.82 and 785.24

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Solution

The fourth proportional to 1,304.88, 1,957.82 and 785.24 is: 1,178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.88 : 1,957.82 = 785.24 : x
  2. Step 2: Convert to fraction form
    1,304.88/1,957.82 = 785.24/x
  3. Step 3: Cross multiply
    1,304.88x = 1,957.82 × 785.24
  4. Step 4: Simplify right side
    1,304.88x = 1,537,356.06
  5. Step 5: Solve for x
    x = 1,537,356.06/1,304.88
  6. Step 6: Final answer
    x = 1,178.16

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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.