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Finding the Fourth Proportional to 598.64, 901.82 and 591.08

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Solution

The fourth proportional to 598.64, 901.82 and 591.08 is: 890.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.64 : 901.82 = 591.08 : x
  2. Step 2: Convert to fraction form
    598.64/901.82 = 591.08/x
  3. Step 3: Cross multiply
    598.64x = 901.82 × 591.08
  4. Step 4: Simplify right side
    598.64x = 533,047.77
  5. Step 5: Solve for x
    x = 533,047.77/598.64
  6. Step 6: Final answer
    x = 890.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.