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Finding the Fourth Proportional to 1,069.60, 1,604.40 and 522.13

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Solution

The fourth proportional to 1,069.60, 1,604.40 and 522.13 is: 783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.60 : 1,604.40 = 522.13 : x
  2. Step 2: Convert to fraction form
    1,069.60/1,604.40 = 522.13/x
  3. Step 3: Cross multiply
    1,069.60x = 1,604.40 × 522.13
  4. Step 4: Simplify right side
    1,069.60x = 837,705.37
  5. Step 5: Solve for x
    x = 837,705.37/1,069.60
  6. Step 6: Final answer
    x = 783.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.