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Finding the Fourth Proportional to 904.49, 1,356.73 and 598.27

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Solution

The fourth proportional to 904.49, 1,356.73 and 598.27 is: 897.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.49 : 1,356.73 = 598.27 : x
  2. Step 2: Convert to fraction form
    904.49/1,356.73 = 598.27/x
  3. Step 3: Cross multiply
    904.49x = 1,356.73 × 598.27
  4. Step 4: Simplify right side
    904.49x = 811,690.86
  5. Step 5: Solve for x
    x = 811,690.86/904.49
  6. Step 6: Final answer
    x = 897.40

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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.