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Finding the Fourth Proportional to 1,185.16, 1,775.82 and 837.16

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Solution

The fourth proportional to 1,185.16, 1,775.82 and 837.16 is: 1,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.16 : 1,775.82 = 837.16 : x
  2. Step 2: Convert to fraction form
    1,185.16/1,775.82 = 837.16/x
  3. Step 3: Cross multiply
    1,185.16x = 1,775.82 × 837.16
  4. Step 4: Simplify right side
    1,185.16x = 1,486,645.47
  5. Step 5: Solve for x
    x = 1,486,645.47/1,185.16
  6. Step 6: Final answer
    x = 1,254.38

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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.