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Finding the Fourth Proportional to 899.68, 1,348.72 and 460.68

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Solution

The fourth proportional to 899.68, 1,348.72 and 460.68 is: 690.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.68 : 1,348.72 = 460.68 : x
  2. Step 2: Convert to fraction form
    899.68/1,348.72 = 460.68/x
  3. Step 3: Cross multiply
    899.68x = 1,348.72 × 460.68
  4. Step 4: Simplify right side
    899.68x = 621,332.24
  5. Step 5: Solve for x
    x = 621,332.24/899.68
  6. Step 6: Final answer
    x = 690.62

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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.