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Finding the Fourth Proportional to 898.58, 1,348.59 and 465.86

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Solution

The fourth proportional to 898.58, 1,348.59 and 465.86 is: 699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.58 : 1,348.59 = 465.86 : x
  2. Step 2: Convert to fraction form
    898.58/1,348.59 = 465.86/x
  3. Step 3: Cross multiply
    898.58x = 1,348.59 × 465.86
  4. Step 4: Simplify right side
    898.58x = 628,254.14
  5. Step 5: Solve for x
    x = 628,254.14/898.58
  6. Step 6: Final answer
    x = 699.16

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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.