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Finding the Fourth Proportional to 898.09, 1,347.20 and 465.32

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Solution

The fourth proportional to 898.09, 1,347.20 and 465.32 is: 698.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.09 : 1,347.20 = 465.32 : x
  2. Step 2: Convert to fraction form
    898.09/1,347.20 = 465.32/x
  3. Step 3: Cross multiply
    898.09x = 1,347.20 × 465.32
  4. Step 4: Simplify right side
    898.09x = 626,879.10
  5. Step 5: Solve for x
    x = 626,879.10/898.09
  6. Step 6: Final answer
    x = 698.01

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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.