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Finding the Fourth Proportional to 597.84, 897.90 and 511.32

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Solution

The fourth proportional to 597.84, 897.90 and 511.32 is: 767.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.84 : 897.90 = 511.32 : x
  2. Step 2: Convert to fraction form
    597.84/897.90 = 511.32/x
  3. Step 3: Cross multiply
    597.84x = 897.90 × 511.32
  4. Step 4: Simplify right side
    597.84x = 459,114.23
  5. Step 5: Solve for x
    x = 459,114.23/597.84
  6. Step 6: Final answer
    x = 767.96

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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.