Home / 1,160.28-1,740.46-582.84

Finding the Fourth Proportional to 1,160.28, 1,740.46 and 582.84

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Solution

The fourth proportional to 1,160.28, 1,740.46 and 582.84 is: 874.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.28 : 1,740.46 = 582.84 : x
  2. Step 2: Convert to fraction form
    1,160.28/1,740.46 = 582.84/x
  3. Step 3: Cross multiply
    1,160.28x = 1,740.46 × 582.84
  4. Step 4: Simplify right side
    1,160.28x = 1,014,409.71
  5. Step 5: Solve for x
    x = 1,014,409.71/1,160.28
  6. Step 6: Final answer
    x = 874.28

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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.