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Finding the Fourth Proportional to 1,191.58, 1,643.69 and 837.35

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Solution

The fourth proportional to 1,191.58, 1,643.69 and 837.35 is: 1,155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.58 : 1,643.69 = 837.35 : x
  2. Step 2: Convert to fraction form
    1,191.58/1,643.69 = 837.35/x
  3. Step 3: Cross multiply
    1,191.58x = 1,643.69 × 837.35
  4. Step 4: Simplify right side
    1,191.58x = 1,376,343.86
  5. Step 5: Solve for x
    x = 1,376,343.86/1,191.58
  6. Step 6: Final answer
    x = 1,155.06

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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.