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Finding the Fourth Proportional to 1,053.36, 1,453.41 and 705.06

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Solution

The fourth proportional to 1,053.36, 1,453.41 and 705.06 is: 972.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.36 : 1,453.41 = 705.06 : x
  2. Step 2: Convert to fraction form
    1,053.36/1,453.41 = 705.06/x
  3. Step 3: Cross multiply
    1,053.36x = 1,453.41 × 705.06
  4. Step 4: Simplify right side
    1,053.36x = 1,024,741.25
  5. Step 5: Solve for x
    x = 1,024,741.25/1,053.36
  6. Step 6: Final answer
    x = 972.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.