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Finding the Fourth Proportional to 933.10, 1,398.96 and 470.66

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Solution

The fourth proportional to 933.10, 1,398.96 and 470.66 is: 705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.10 : 1,398.96 = 470.66 : x
  2. Step 2: Convert to fraction form
    933.10/1,398.96 = 470.66/x
  3. Step 3: Cross multiply
    933.10x = 1,398.96 × 470.66
  4. Step 4: Simplify right side
    933.10x = 658,434.51
  5. Step 5: Solve for x
    x = 658,434.51/933.10
  6. Step 6: Final answer
    x = 705.65

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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.