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Finding the Fourth Proportional to 1,146.14, 1,580.51 and 980.90

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Solution

The fourth proportional to 1,146.14, 1,580.51 and 980.90 is: 1,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.14 : 1,580.51 = 980.90 : x
  2. Step 2: Convert to fraction form
    1,146.14/1,580.51 = 980.90/x
  3. Step 3: Cross multiply
    1,146.14x = 1,580.51 × 980.90
  4. Step 4: Simplify right side
    1,146.14x = 1,550,322.26
  5. Step 5: Solve for x
    x = 1,550,322.26/1,146.14
  6. Step 6: Final answer
    x = 1,352.65

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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.