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Finding the Fourth Proportional to 670.23, 1,005.36 and 533.55

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Solution

The fourth proportional to 670.23, 1,005.36 and 533.55 is: 800.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.23 : 1,005.36 = 533.55 : x
  2. Step 2: Convert to fraction form
    670.23/1,005.36 = 533.55/x
  3. Step 3: Cross multiply
    670.23x = 1,005.36 × 533.55
  4. Step 4: Simplify right side
    670.23x = 536,409.83
  5. Step 5: Solve for x
    x = 536,409.83/670.23
  6. Step 6: Final answer
    x = 800.34

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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.