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Finding the Fourth Proportional to 612.97, 913.07 and 590.90

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Solution

The fourth proportional to 612.97, 913.07 and 590.90 is: 880.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.97 : 913.07 = 590.90 : x
  2. Step 2: Convert to fraction form
    612.97/913.07 = 590.90/x
  3. Step 3: Cross multiply
    612.97x = 913.07 × 590.90
  4. Step 4: Simplify right side
    612.97x = 539,529.97
  5. Step 5: Solve for x
    x = 539,529.97/612.97
  6. Step 6: Final answer
    x = 880.19

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