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Finding the Fourth Proportional to 1,580.53, 2,370.67 and 703.06

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Solution

The fourth proportional to 1,580.53, 2,370.67 and 703.06 is: 1,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.53 : 2,370.67 = 703.06 : x
  2. Step 2: Convert to fraction form
    1,580.53/2,370.67 = 703.06/x
  3. Step 3: Cross multiply
    1,580.53x = 2,370.67 × 703.06
  4. Step 4: Simplify right side
    1,580.53x = 1,666,737.73
  5. Step 5: Solve for x
    x = 1,666,737.73/1,580.53
  6. Step 6: Final answer
    x = 1,054.54

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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.