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Finding the Fourth Proportional to 1,054.07, 1,456.55 and 913.74

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Solution

The fourth proportional to 1,054.07, 1,456.55 and 913.74 is: 1,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.07 : 1,456.55 = 913.74 : x
  2. Step 2: Convert to fraction form
    1,054.07/1,456.55 = 913.74/x
  3. Step 3: Cross multiply
    1,054.07x = 1,456.55 × 913.74
  4. Step 4: Simplify right side
    1,054.07x = 1,330,908.00
  5. Step 5: Solve for x
    x = 1,330,908.00/1,054.07
  6. Step 6: Final answer
    x = 1,262.64

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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.