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Finding the Fourth Proportional to 1,445.23, 2,166.54 and 520.57

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Solution

The fourth proportional to 1,445.23, 2,166.54 and 520.57 is: 780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.23 : 2,166.54 = 520.57 : x
  2. Step 2: Convert to fraction form
    1,445.23/2,166.54 = 520.57/x
  3. Step 3: Cross multiply
    1,445.23x = 2,166.54 × 520.57
  4. Step 4: Simplify right side
    1,445.23x = 1,127,822.29
  5. Step 5: Solve for x
    x = 1,127,822.29/1,445.23
  6. Step 6: Final answer
    x = 780.38

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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.