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Finding the Fourth Proportional to 596.30, 891.95 and 526.59

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Solution

The fourth proportional to 596.30, 891.95 and 526.59 is: 787.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.30 : 891.95 = 526.59 : x
  2. Step 2: Convert to fraction form
    596.30/891.95 = 526.59/x
  3. Step 3: Cross multiply
    596.30x = 891.95 × 526.59
  4. Step 4: Simplify right side
    596.30x = 469,689.32
  5. Step 5: Solve for x
    x = 469,689.32/596.30
  6. Step 6: Final answer
    x = 787.68

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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.