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Finding the Fourth Proportional to 1,335.54, 1,999.62 and 785.10

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Solution

The fourth proportional to 1,335.54, 1,999.62 and 785.10 is: 1,175.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.54 : 1,999.62 = 785.10 : x
  2. Step 2: Convert to fraction form
    1,335.54/1,999.62 = 785.10/x
  3. Step 3: Cross multiply
    1,335.54x = 1,999.62 × 785.10
  4. Step 4: Simplify right side
    1,335.54x = 1,569,901.66
  5. Step 5: Solve for x
    x = 1,569,901.66/1,335.54
  6. Step 6: Final answer
    x = 1,175.48

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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.