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Finding the Fourth Proportional to 1,055.49, 1,456.68 and 583.49

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Solution

The fourth proportional to 1,055.49, 1,456.68 and 583.49 is: 805.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.49 : 1,456.68 = 583.49 : x
  2. Step 2: Convert to fraction form
    1,055.49/1,456.68 = 583.49/x
  3. Step 3: Cross multiply
    1,055.49x = 1,456.68 × 583.49
  4. Step 4: Simplify right side
    1,055.49x = 849,958.21
  5. Step 5: Solve for x
    x = 849,958.21/1,055.49
  6. Step 6: Final answer
    x = 805.27

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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.