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Finding the Fourth Proportional to 907.29, 1,358.62 and 598.21

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Solution

The fourth proportional to 907.29, 1,358.62 and 598.21 is: 895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.29 : 1,358.62 = 598.21 : x
  2. Step 2: Convert to fraction form
    907.29/1,358.62 = 598.21/x
  3. Step 3: Cross multiply
    907.29x = 1,358.62 × 598.21
  4. Step 4: Simplify right side
    907.29x = 812,735.18
  5. Step 5: Solve for x
    x = 812,735.18/907.29
  6. Step 6: Final answer
    x = 895.78

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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.