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Finding the Fourth Proportional to 1,083.79, 1,496.28 and 1,037.35

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Solution

The fourth proportional to 1,083.79, 1,496.28 and 1,037.35 is: 1,432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.79 : 1,496.28 = 1,037.35 : x
  2. Step 2: Convert to fraction form
    1,083.79/1,496.28 = 1,037.35/x
  3. Step 3: Cross multiply
    1,083.79x = 1,496.28 × 1,037.35
  4. Step 4: Simplify right side
    1,083.79x = 1,552,166.06
  5. Step 5: Solve for x
    x = 1,552,166.06/1,083.79
  6. Step 6: Final answer
    x = 1,432.16

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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.