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Finding the Fourth Proportional to 1,070.45, 1,606.58 and 523.10

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Solution

The fourth proportional to 1,070.45, 1,606.58 and 523.10 is: 785.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.45 : 1,606.58 = 523.10 : x
  2. Step 2: Convert to fraction form
    1,070.45/1,606.58 = 523.10/x
  3. Step 3: Cross multiply
    1,070.45x = 1,606.58 × 523.10
  4. Step 4: Simplify right side
    1,070.45x = 840,399.38
  5. Step 5: Solve for x
    x = 840,399.38/1,070.45
  6. Step 6: Final answer
    x = 785.09

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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.