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Finding the Fourth Proportional to 612.57, 848.66 and 597.54

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Solution

The fourth proportional to 612.57, 848.66 and 597.54 is: 827.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.57 : 848.66 = 597.54 : x
  2. Step 2: Convert to fraction form
    612.57/848.66 = 597.54/x
  3. Step 3: Cross multiply
    612.57x = 848.66 × 597.54
  4. Step 4: Simplify right side
    612.57x = 507,109.79
  5. Step 5: Solve for x
    x = 507,109.79/612.57
  6. Step 6: Final answer
    x = 827.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.