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Finding the Fourth Proportional to 597.19, 890.68 and 524.55

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Solution

The fourth proportional to 597.19, 890.68 and 524.55 is: 782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.19 : 890.68 = 524.55 : x
  2. Step 2: Convert to fraction form
    597.19/890.68 = 524.55/x
  3. Step 3: Cross multiply
    597.19x = 890.68 × 524.55
  4. Step 4: Simplify right side
    597.19x = 467,203.05
  5. Step 5: Solve for x
    x = 467,203.05/597.19
  6. Step 6: Final answer
    x = 782.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.