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Finding the Fourth Proportional to 901.84, 1,352.34 and 468.88

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Solution

The fourth proportional to 901.84, 1,352.34 and 468.88 is: 703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.84 : 1,352.34 = 468.88 : x
  2. Step 2: Convert to fraction form
    901.84/1,352.34 = 468.88/x
  3. Step 3: Cross multiply
    901.84x = 1,352.34 × 468.88
  4. Step 4: Simplify right side
    901.84x = 634,085.18
  5. Step 5: Solve for x
    x = 634,085.18/901.84
  6. Step 6: Final answer
    x = 703.10

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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.