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Finding the Fourth Proportional to 1,055.76, 1,456.93 and 583.66

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Solution

The fourth proportional to 1,055.76, 1,456.93 and 583.66 is: 805.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.76 : 1,456.93 = 583.66 : x
  2. Step 2: Convert to fraction form
    1,055.76/1,456.93 = 583.66/x
  3. Step 3: Cross multiply
    1,055.76x = 1,456.93 × 583.66
  4. Step 4: Simplify right side
    1,055.76x = 850,351.76
  5. Step 5: Solve for x
    x = 850,351.76/1,055.76
  6. Step 6: Final answer
    x = 805.44

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Why These Related Problems?

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