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Finding the Fourth Proportional to 1,073.76, 1,610.16 and 525.84

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Solution

The fourth proportional to 1,073.76, 1,610.16 and 525.84 is: 788.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.76 : 1,610.16 = 525.84 : x
  2. Step 2: Convert to fraction form
    1,073.76/1,610.16 = 525.84/x
  3. Step 3: Cross multiply
    1,073.76x = 1,610.16 × 525.84
  4. Step 4: Simplify right side
    1,073.76x = 846,686.53
  5. Step 5: Solve for x
    x = 846,686.53/1,073.76
  6. Step 6: Final answer
    x = 788.52

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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.