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Finding the Fourth Proportional to 899.16, 1,348.88 and 460.17

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Solution

The fourth proportional to 899.16, 1,348.88 and 460.17 is: 690.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.16 : 1,348.88 = 460.17 : x
  2. Step 2: Convert to fraction form
    899.16/1,348.88 = 460.17/x
  3. Step 3: Cross multiply
    899.16x = 1,348.88 × 460.17
  4. Step 4: Simplify right side
    899.16x = 620,714.11
  5. Step 5: Solve for x
    x = 620,714.11/899.16
  6. Step 6: Final answer
    x = 690.33

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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.