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Finding the Fourth Proportional to 680.74, 1,021.95 and 526.77

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Solution

The fourth proportional to 680.74, 1,021.95 and 526.77 is: 790.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.74 : 1,021.95 = 526.77 : x
  2. Step 2: Convert to fraction form
    680.74/1,021.95 = 526.77/x
  3. Step 3: Cross multiply
    680.74x = 1,021.95 × 526.77
  4. Step 4: Simplify right side
    680.74x = 538,332.60
  5. Step 5: Solve for x
    x = 538,332.60/680.74
  6. Step 6: Final answer
    x = 790.81

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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.