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Finding the Fourth Proportional to 1,054.76, 1,456.08 and 740.69

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Solution

The fourth proportional to 1,054.76, 1,456.08 and 740.69 is: 1,022.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.76 : 1,456.08 = 740.69 : x
  2. Step 2: Convert to fraction form
    1,054.76/1,456.08 = 740.69/x
  3. Step 3: Cross multiply
    1,054.76x = 1,456.08 × 740.69
  4. Step 4: Simplify right side
    1,054.76x = 1,078,503.90
  5. Step 5: Solve for x
    x = 1,078,503.90/1,054.76
  6. Step 6: Final answer
    x = 1,022.51

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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.