Home / 1,132.26-1,698.80-584.81

Finding the Fourth Proportional to 1,132.26, 1,698.80 and 584.81

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Solution

The fourth proportional to 1,132.26, 1,698.80 and 584.81 is: 877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.26 : 1,698.80 = 584.81 : x
  2. Step 2: Convert to fraction form
    1,132.26/1,698.80 = 584.81/x
  3. Step 3: Cross multiply
    1,132.26x = 1,698.80 × 584.81
  4. Step 4: Simplify right side
    1,132.26x = 993,463.81
  5. Step 5: Solve for x
    x = 993,463.81/1,132.26
  6. Step 6: Final answer
    x = 877.42

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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.