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Finding the Fourth Proportional to 1,240.86, 1,860.58 and 510.94

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Solution

The fourth proportional to 1,240.86, 1,860.58 and 510.94 is: 766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.86 : 1,860.58 = 510.94 : x
  2. Step 2: Convert to fraction form
    1,240.86/1,860.58 = 510.94/x
  3. Step 3: Cross multiply
    1,240.86x = 1,860.58 × 510.94
  4. Step 4: Simplify right side
    1,240.86x = 950,644.75
  5. Step 5: Solve for x
    x = 950,644.75/1,240.86
  6. Step 6: Final answer
    x = 766.12

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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.