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Finding the Fourth Proportional to 1,070.70, 1,605.75 and 522.90

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Solution

The fourth proportional to 1,070.70, 1,605.75 and 522.90 is: 784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.70 : 1,605.75 = 522.90 : x
  2. Step 2: Convert to fraction form
    1,070.70/1,605.75 = 522.90/x
  3. Step 3: Cross multiply
    1,070.70x = 1,605.75 × 522.90
  4. Step 4: Simplify right side
    1,070.70x = 839,646.68
  5. Step 5: Solve for x
    x = 839,646.68/1,070.70
  6. Step 6: Final answer
    x = 784.20

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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.