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Finding the Fourth Proportional to 898.38, 1,347.57 and 464.63

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Solution

The fourth proportional to 898.38, 1,347.57 and 464.63 is: 696.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.38 : 1,347.57 = 464.63 : x
  2. Step 2: Convert to fraction form
    898.38/1,347.57 = 464.63/x
  3. Step 3: Cross multiply
    898.38x = 1,347.57 × 464.63
  4. Step 4: Simplify right side
    898.38x = 626,114.71
  5. Step 5: Solve for x
    x = 626,114.71/898.38
  6. Step 6: Final answer
    x = 696.94

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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.