Home / 1,045.20-1,566.57-582.75

Finding the Fourth Proportional to 1,045.20, 1,566.57 and 582.75

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Solution

The fourth proportional to 1,045.20, 1,566.57 and 582.75 is: 873.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.20 : 1,566.57 = 582.75 : x
  2. Step 2: Convert to fraction form
    1,045.20/1,566.57 = 582.75/x
  3. Step 3: Cross multiply
    1,045.20x = 1,566.57 × 582.75
  4. Step 4: Simplify right side
    1,045.20x = 912,918.67
  5. Step 5: Solve for x
    x = 912,918.67/1,045.20
  6. Step 6: Final answer
    x = 873.44

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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.