Home / 1,583.75-2,376.44-706.52

Finding the Fourth Proportional to 1,583.75, 2,376.44 and 706.52

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Solution

The fourth proportional to 1,583.75, 2,376.44 and 706.52 is: 1,060.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.75 : 2,376.44 = 706.52 : x
  2. Step 2: Convert to fraction form
    1,583.75/2,376.44 = 706.52/x
  3. Step 3: Cross multiply
    1,583.75x = 2,376.44 × 706.52
  4. Step 4: Simplify right side
    1,583.75x = 1,679,002.39
  5. Step 5: Solve for x
    x = 1,679,002.39/1,583.75
  6. Step 6: Final answer
    x = 1,060.14

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Why These Related Problems?

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