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Finding the Fourth Proportional to 899.61, 1,348.80 and 488.35

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Solution

The fourth proportional to 899.61, 1,348.80 and 488.35 is: 732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.61 : 1,348.80 = 488.35 : x
  2. Step 2: Convert to fraction form
    899.61/1,348.80 = 488.35/x
  3. Step 3: Cross multiply
    899.61x = 1,348.80 × 488.35
  4. Step 4: Simplify right side
    899.61x = 658,686.48
  5. Step 5: Solve for x
    x = 658,686.48/899.61
  6. Step 6: Final answer
    x = 732.19

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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.