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Finding the Fourth Proportional to 1,041.72, 1,562.79 and 522.06

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Solution

The fourth proportional to 1,041.72, 1,562.79 and 522.06 is: 783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.72 : 1,562.79 = 522.06 : x
  2. Step 2: Convert to fraction form
    1,041.72/1,562.79 = 522.06/x
  3. Step 3: Cross multiply
    1,041.72x = 1,562.79 × 522.06
  4. Step 4: Simplify right side
    1,041.72x = 815,870.15
  5. Step 5: Solve for x
    x = 815,870.15/1,041.72
  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.