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Finding the Fourth Proportional to 894.48, 1,341.72 and 461.40

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Solution

The fourth proportional to 894.48, 1,341.72 and 461.40 is: 692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.48 : 1,341.72 = 461.40 : x
  2. Step 2: Convert to fraction form
    894.48/1,341.72 = 461.40/x
  3. Step 3: Cross multiply
    894.48x = 1,341.72 × 461.40
  4. Step 4: Simplify right side
    894.48x = 619,069.61
  5. Step 5: Solve for x
    x = 619,069.61/894.48
  6. Step 6: Final answer
    x = 692.10

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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.