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Finding the Fourth Proportional to 898.98, 1,349.33 and 437.01

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Solution

The fourth proportional to 898.98, 1,349.33 and 437.01 is: 655.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.98 : 1,349.33 = 437.01 : x
  2. Step 2: Convert to fraction form
    898.98/1,349.33 = 437.01/x
  3. Step 3: Cross multiply
    898.98x = 1,349.33 × 437.01
  4. Step 4: Simplify right side
    898.98x = 589,668.52
  5. Step 5: Solve for x
    x = 589,668.52/898.98
  6. Step 6: Final answer
    x = 655.93

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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.