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Finding the Fourth Proportional to 1,069.41, 1,602.89 and 491.07

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Solution

The fourth proportional to 1,069.41, 1,602.89 and 491.07 is: 736.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.41 : 1,602.89 = 491.07 : x
  2. Step 2: Convert to fraction form
    1,069.41/1,602.89 = 491.07/x
  3. Step 3: Cross multiply
    1,069.41x = 1,602.89 × 491.07
  4. Step 4: Simplify right side
    1,069.41x = 787,128.74
  5. Step 5: Solve for x
    x = 787,128.74/1,069.41
  6. Step 6: Final answer
    x = 736.04

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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.