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Finding the Fourth Proportional to 1,237.33, 1,708.05 and 905.77

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Solution

The fourth proportional to 1,237.33, 1,708.05 and 905.77 is: 1,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.33 : 1,708.05 = 905.77 : x
  2. Step 2: Convert to fraction form
    1,237.33/1,708.05 = 905.77/x
  3. Step 3: Cross multiply
    1,237.33x = 1,708.05 × 905.77
  4. Step 4: Simplify right side
    1,237.33x = 1,547,100.45
  5. Step 5: Solve for x
    x = 1,547,100.45/1,237.33
  6. Step 6: Final answer
    x = 1,250.35

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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.