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Finding the Fourth Proportional to 1,069.07, 1,603.63 and 328.70

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Solution

The fourth proportional to 1,069.07, 1,603.63 and 328.70 is: 493.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.07 : 1,603.63 = 328.70 : x
  2. Step 2: Convert to fraction form
    1,069.07/1,603.63 = 328.70/x
  3. Step 3: Cross multiply
    1,069.07x = 1,603.63 × 328.70
  4. Step 4: Simplify right side
    1,069.07x = 527,113.18
  5. Step 5: Solve for x
    x = 527,113.18/1,069.07
  6. Step 6: Final answer
    x = 493.06

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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.