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Finding the Fourth Proportional to 766.03, 1,056.07 and 526.75

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Solution

The fourth proportional to 766.03, 1,056.07 and 526.75 is: 726.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.03 : 1,056.07 = 526.75 : x
  2. Step 2: Convert to fraction form
    766.03/1,056.07 = 526.75/x
  3. Step 3: Cross multiply
    766.03x = 1,056.07 × 526.75
  4. Step 4: Simplify right side
    766.03x = 556,284.87
  5. Step 5: Solve for x
    x = 556,284.87/766.03
  6. Step 6: Final answer
    x = 726.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.