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Finding the Fourth Proportional to 595.82, 891.41 and 526.57

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Solution

The fourth proportional to 595.82, 891.41 and 526.57 is: 787.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.82 : 891.41 = 526.57 : x
  2. Step 2: Convert to fraction form
    595.82/891.41 = 526.57/x
  3. Step 3: Cross multiply
    595.82x = 891.41 × 526.57
  4. Step 4: Simplify right side
    595.82x = 469,384.90
  5. Step 5: Solve for x
    x = 469,384.90/595.82
  6. Step 6: Final answer
    x = 787.79

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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.