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Finding the Fourth Proportional to 693.69, 1,041.54 and 432.93

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Solution

The fourth proportional to 693.69, 1,041.54 and 432.93 is: 650.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.69 : 1,041.54 = 432.93 : x
  2. Step 2: Convert to fraction form
    693.69/1,041.54 = 432.93/x
  3. Step 3: Cross multiply
    693.69x = 1,041.54 × 432.93
  4. Step 4: Simplify right side
    693.69x = 450,913.91
  5. Step 5: Solve for x
    x = 450,913.91/693.69
  6. Step 6: Final answer
    x = 650.02

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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.