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Finding the Fourth Proportional to 1,162.95, 1,746.86 and 980.70

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Solution

The fourth proportional to 1,162.95, 1,746.86 and 980.70 is: 1,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.95 : 1,746.86 = 980.70 : x
  2. Step 2: Convert to fraction form
    1,162.95/1,746.86 = 980.70/x
  3. Step 3: Cross multiply
    1,162.95x = 1,746.86 × 980.70
  4. Step 4: Simplify right side
    1,162.95x = 1,713,140.70
  5. Step 5: Solve for x
    x = 1,713,140.70/1,162.95
  6. Step 6: Final answer
    x = 1,473.10

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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.