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Finding the Fourth Proportional to 1,099.14, 1,515.98 and 705.95

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Solution

The fourth proportional to 1,099.14, 1,515.98 and 705.95 is: 973.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.14 : 1,515.98 = 705.95 : x
  2. Step 2: Convert to fraction form
    1,099.14/1,515.98 = 705.95/x
  3. Step 3: Cross multiply
    1,099.14x = 1,515.98 × 705.95
  4. Step 4: Simplify right side
    1,099.14x = 1,070,206.08
  5. Step 5: Solve for x
    x = 1,070,206.08/1,099.14
  6. Step 6: Final answer
    x = 973.68

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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.