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Finding the Fourth Proportional to 901.12, 1,348.80 and 684.16

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Solution

The fourth proportional to 901.12, 1,348.80 and 684.16 is: 1,024.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.12 : 1,348.80 = 684.16 : x
  2. Step 2: Convert to fraction form
    901.12/1,348.80 = 684.16/x
  3. Step 3: Cross multiply
    901.12x = 1,348.80 × 684.16
  4. Step 4: Simplify right side
    901.12x = 922,795.01
  5. Step 5: Solve for x
    x = 922,795.01/901.12
  6. Step 6: Final answer
    x = 1,024.05

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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.