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Finding the Fourth Proportional to 1,527.77, 2,290.63 and 705.59

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Solution

The fourth proportional to 1,527.77, 2,290.63 and 705.59 is: 1,057.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.77 : 2,290.63 = 705.59 : x
  2. Step 2: Convert to fraction form
    1,527.77/2,290.63 = 705.59/x
  3. Step 3: Cross multiply
    1,527.77x = 2,290.63 × 705.59
  4. Step 4: Simplify right side
    1,527.77x = 1,616,242.09
  5. Step 5: Solve for x
    x = 1,616,242.09/1,527.77
  6. Step 6: Final answer
    x = 1,057.91

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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.