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Finding the Fourth Proportional to 1,583.88, 2,376.06 and 706.68

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Solution

The fourth proportional to 1,583.88, 2,376.06 and 706.68 is: 1,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.88 : 2,376.06 = 706.68 : x
  2. Step 2: Convert to fraction form
    1,583.88/2,376.06 = 706.68/x
  3. Step 3: Cross multiply
    1,583.88x = 2,376.06 × 706.68
  4. Step 4: Simplify right side
    1,583.88x = 1,679,114.08
  5. Step 5: Solve for x
    x = 1,679,114.08/1,583.88
  6. Step 6: Final answer
    x = 1,060.13

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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.