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Finding the Fourth Proportional to 623.69, 933.87 and 525.95

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Solution

The fourth proportional to 623.69, 933.87 and 525.95 is: 787.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.69 : 933.87 = 525.95 : x
  2. Step 2: Convert to fraction form
    623.69/933.87 = 525.95/x
  3. Step 3: Cross multiply
    623.69x = 933.87 × 525.95
  4. Step 4: Simplify right side
    623.69x = 491,168.93
  5. Step 5: Solve for x
    x = 491,168.93/623.69
  6. Step 6: Final answer
    x = 787.52

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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.