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Finding the Fourth Proportional to 1,525.29, 2,285.88 and 701.75

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Solution

The fourth proportional to 1,525.29, 2,285.88 and 701.75 is: 1,051.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.29 : 2,285.88 = 701.75 : x
  2. Step 2: Convert to fraction form
    1,525.29/2,285.88 = 701.75/x
  3. Step 3: Cross multiply
    1,525.29x = 2,285.88 × 701.75
  4. Step 4: Simplify right side
    1,525.29x = 1,604,116.29
  5. Step 5: Solve for x
    x = 1,604,116.29/1,525.29
  6. Step 6: Final answer
    x = 1,051.68

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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.