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Finding the Fourth Proportional to 1,359.03, 2,037.32 and 710.22

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Solution

The fourth proportional to 1,359.03, 2,037.32 and 710.22 is: 1,064.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.03 : 2,037.32 = 710.22 : x
  2. Step 2: Convert to fraction form
    1,359.03/2,037.32 = 710.22/x
  3. Step 3: Cross multiply
    1,359.03x = 2,037.32 × 710.22
  4. Step 4: Simplify right side
    1,359.03x = 1,446,945.41
  5. Step 5: Solve for x
    x = 1,446,945.41/1,359.03
  6. Step 6: Final answer
    x = 1,064.69

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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.