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Finding the Fourth Proportional to 1,085.94, 1,497.66 and 837.90

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Solution

The fourth proportional to 1,085.94, 1,497.66 and 837.90 is: 1,155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.94 : 1,497.66 = 837.90 : x
  2. Step 2: Convert to fraction form
    1,085.94/1,497.66 = 837.90/x
  3. Step 3: Cross multiply
    1,085.94x = 1,497.66 × 837.90
  4. Step 4: Simplify right side
    1,085.94x = 1,254,889.31
  5. Step 5: Solve for x
    x = 1,254,889.31/1,085.94
  6. Step 6: Final answer
    x = 1,155.58

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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.