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Finding the Fourth Proportional to 1,056.49, 1,458.36 and 945.77

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Solution

The fourth proportional to 1,056.49, 1,458.36 and 945.77 is: 1,305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.49 : 1,458.36 = 945.77 : x
  2. Step 2: Convert to fraction form
    1,056.49/1,458.36 = 945.77/x
  3. Step 3: Cross multiply
    1,056.49x = 1,458.36 × 945.77
  4. Step 4: Simplify right side
    1,056.49x = 1,379,265.85
  5. Step 5: Solve for x
    x = 1,379,265.85/1,056.49
  6. Step 6: Final answer
    x = 1,305.52

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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.