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Finding the Fourth Proportional to 1,095.80, 1,511.94 and 703.36

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Solution

The fourth proportional to 1,095.80, 1,511.94 and 703.36 is: 970.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.80 : 1,511.94 = 703.36 : x
  2. Step 2: Convert to fraction form
    1,095.80/1,511.94 = 703.36/x
  3. Step 3: Cross multiply
    1,095.80x = 1,511.94 × 703.36
  4. Step 4: Simplify right side
    1,095.80x = 1,063,438.12
  5. Step 5: Solve for x
    x = 1,063,438.12/1,095.80
  6. Step 6: Final answer
    x = 970.47

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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.