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Finding the Fourth Proportional to 895.60, 1,342 and 462.16

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Solution

The fourth proportional to 895.60, 1,342 and 462.16 is: 692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.60 : 1,342 = 462.16 : x
  2. Step 2: Convert to fraction form
    895.60/1,342 = 462.16/x
  3. Step 3: Cross multiply
    895.60x = 1,342 × 462.16
  4. Step 4: Simplify right side
    895.60x = 620,218.72
  5. Step 5: Solve for x
    x = 620,218.72/895.60
  6. Step 6: Final answer
    x = 692.52

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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.