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Finding the Fourth Proportional to 933.84, 1,401.14 and 471.74

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Solution

The fourth proportional to 933.84, 1,401.14 and 471.74 is: 707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.84 : 1,401.14 = 471.74 : x
  2. Step 2: Convert to fraction form
    933.84/1,401.14 = 471.74/x
  3. Step 3: Cross multiply
    933.84x = 1,401.14 × 471.74
  4. Step 4: Simplify right side
    933.84x = 660,973.78
  5. Step 5: Solve for x
    x = 660,973.78/933.84
  6. Step 6: Final answer
    x = 707.80

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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.