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Finding the Fourth Proportional to 1,265.80, 1,899.51 and 616.18

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Solution

The fourth proportional to 1,265.80, 1,899.51 and 616.18 is: 924.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.80 : 1,899.51 = 616.18 : x
  2. Step 2: Convert to fraction form
    1,265.80/1,899.51 = 616.18/x
  3. Step 3: Cross multiply
    1,265.80x = 1,899.51 × 616.18
  4. Step 4: Simplify right side
    1,265.80x = 1,170,440.07
  5. Step 5: Solve for x
    x = 1,170,440.07/1,265.80
  6. Step 6: Final answer
    x = 924.66

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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.