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Finding the Fourth Proportional to 1,020.03, 1,529.37 and 526.74

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Solution

The fourth proportional to 1,020.03, 1,529.37 and 526.74 is: 789.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.03 : 1,529.37 = 526.74 : x
  2. Step 2: Convert to fraction form
    1,020.03/1,529.37 = 526.74/x
  3. Step 3: Cross multiply
    1,020.03x = 1,529.37 × 526.74
  4. Step 4: Simplify right side
    1,020.03x = 805,580.35
  5. Step 5: Solve for x
    x = 805,580.35/1,020.03
  6. Step 6: Final answer
    x = 789.76

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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.