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Finding the Fourth Proportional to 904.84, 1,356.84 and 471.88

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Solution

The fourth proportional to 904.84, 1,356.84 and 471.88 is: 707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.84 : 1,356.84 = 471.88 : x
  2. Step 2: Convert to fraction form
    904.84/1,356.84 = 471.88/x
  3. Step 3: Cross multiply
    904.84x = 1,356.84 × 471.88
  4. Step 4: Simplify right side
    904.84x = 640,265.66
  5. Step 5: Solve for x
    x = 640,265.66/904.84
  6. Step 6: Final answer
    x = 707.60

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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.