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Finding the Fourth Proportional to 1,132.16, 1,698.87 and 612.15

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Solution

The fourth proportional to 1,132.16, 1,698.87 and 612.15 is: 918.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.16 : 1,698.87 = 612.15 : x
  2. Step 2: Convert to fraction form
    1,132.16/1,698.87 = 612.15/x
  3. Step 3: Cross multiply
    1,132.16x = 1,698.87 × 612.15
  4. Step 4: Simplify right side
    1,132.16x = 1,039,963.27
  5. Step 5: Solve for x
    x = 1,039,963.27/1,132.16
  6. Step 6: Final answer
    x = 918.57

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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.