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Finding the Fourth Proportional to 1,072.90, 1,609.66 and 525.40

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Solution

The fourth proportional to 1,072.90, 1,609.66 and 525.40 is: 788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.90 : 1,609.66 = 525.40 : x
  2. Step 2: Convert to fraction form
    1,072.90/1,609.66 = 525.40/x
  3. Step 3: Cross multiply
    1,072.90x = 1,609.66 × 525.40
  4. Step 4: Simplify right side
    1,072.90x = 845,715.36
  5. Step 5: Solve for x
    x = 845,715.36/1,072.90
  6. Step 6: Final answer
    x = 788.25

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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.