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Finding the Fourth Proportional to 1,162.04, 1,740.98 and 612.99

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Solution

The fourth proportional to 1,162.04, 1,740.98 and 612.99 is: 918.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.04 : 1,740.98 = 612.99 : x
  2. Step 2: Convert to fraction form
    1,162.04/1,740.98 = 612.99/x
  3. Step 3: Cross multiply
    1,162.04x = 1,740.98 × 612.99
  4. Step 4: Simplify right side
    1,162.04x = 1,067,203.33
  5. Step 5: Solve for x
    x = 1,067,203.33/1,162.04
  6. Step 6: Final answer
    x = 918.39

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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.