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Finding the Fourth Proportional to 623, 933.66 and 500.68

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Solution

The fourth proportional to 623, 933.66 and 500.68 is: 750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    623 : 933.66 = 500.68 : x
  2. Step 2: Convert to fraction form
    623/933.66 = 500.68/x
  3. Step 3: Cross multiply
    623x = 933.66 × 500.68
  4. Step 4: Simplify right side
    623x = 467,464.89
  5. Step 5: Solve for x
    x = 467,464.89/623
  6. Step 6: Final answer
    x = 750.34

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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.