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Finding the Fourth Proportional to 1,306.51, 1,958.32 and 612.61

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Solution

The fourth proportional to 1,306.51, 1,958.32 and 612.61 is: 918.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.51 : 1,958.32 = 612.61 : x
  2. Step 2: Convert to fraction form
    1,306.51/1,958.32 = 612.61/x
  3. Step 3: Cross multiply
    1,306.51x = 1,958.32 × 612.61
  4. Step 4: Simplify right side
    1,306.51x = 1,199,686.42
  5. Step 5: Solve for x
    x = 1,199,686.42/1,306.51
  6. Step 6: Final answer
    x = 918.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.