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Finding the Fourth Proportional to 646.12, 890 and 598.86

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Solution

The fourth proportional to 646.12, 890 and 598.86 is: 824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.12 : 890 = 598.86 : x
  2. Step 2: Convert to fraction form
    646.12/890 = 598.86/x
  3. Step 3: Cross multiply
    646.12x = 890 × 598.86
  4. Step 4: Simplify right side
    646.12x = 532,985.40
  5. Step 5: Solve for x
    x = 532,985.40/646.12
  6. Step 6: Final answer
    x = 824.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.