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Finding the Fourth Proportional to 1,069.50, 1,476.05 and 603.75

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Solution

The fourth proportional to 1,069.50, 1,476.05 and 603.75 is: 833.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.50 : 1,476.05 = 603.75 : x
  2. Step 2: Convert to fraction form
    1,069.50/1,476.05 = 603.75/x
  3. Step 3: Cross multiply
    1,069.50x = 1,476.05 × 603.75
  4. Step 4: Simplify right side
    1,069.50x = 891,162.17
  5. Step 5: Solve for x
    x = 891,162.17/1,069.50
  6. Step 6: Final answer
    x = 833.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.