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Finding the Fourth Proportional to 1,095.12, 1,632.15 and 1,048.95

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Solution

The fourth proportional to 1,095.12, 1,632.15 and 1,048.95 is: 1,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.12 : 1,632.15 = 1,048.95 : x
  2. Step 2: Convert to fraction form
    1,095.12/1,632.15 = 1,048.95/x
  3. Step 3: Cross multiply
    1,095.12x = 1,632.15 × 1,048.95
  4. Step 4: Simplify right side
    1,095.12x = 1,712,043.74
  5. Step 5: Solve for x
    x = 1,712,043.74/1,095.12
  6. Step 6: Final answer
    x = 1,563.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.