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Finding the Fourth Proportional to 1,132.92, 1,695.74 and 584.36

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Solution

The fourth proportional to 1,132.92, 1,695.74 and 584.36 is: 874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.92 : 1,695.74 = 584.36 : x
  2. Step 2: Convert to fraction form
    1,132.92/1,695.74 = 584.36/x
  3. Step 3: Cross multiply
    1,132.92x = 1,695.74 × 584.36
  4. Step 4: Simplify right side
    1,132.92x = 990,911.23
  5. Step 5: Solve for x
    x = 990,911.23/1,132.92
  6. Step 6: Final answer
    x = 874.65

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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.