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Finding the Fourth Proportional to 719.68, 1,077.36 and 526

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Solution

The fourth proportional to 719.68, 1,077.36 and 526 is: 787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.68 : 1,077.36 = 526 : x
  2. Step 2: Convert to fraction form
    719.68/1,077.36 = 526/x
  3. Step 3: Cross multiply
    719.68x = 1,077.36 × 526
  4. Step 4: Simplify right side
    719.68x = 566,691.36
  5. Step 5: Solve for x
    x = 566,691.36/719.68
  6. Step 6: Final answer
    x = 787.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.