Home / 1,069.24-1,603.22-385.40

Finding the Fourth Proportional to 1,069.24, 1,603.22 and 385.40

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Solution

The fourth proportional to 1,069.24, 1,603.22 and 385.40 is: 577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.24 : 1,603.22 = 385.40 : x
  2. Step 2: Convert to fraction form
    1,069.24/1,603.22 = 385.40/x
  3. Step 3: Cross multiply
    1,069.24x = 1,603.22 × 385.40
  4. Step 4: Simplify right side
    1,069.24x = 617,880.99
  5. Step 5: Solve for x
    x = 617,880.99/1,069.24
  6. Step 6: Final answer
    x = 577.87

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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.