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Finding the Fourth Proportional to 1,055.06, 1,456.08 and 589.40

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Solution

The fourth proportional to 1,055.06, 1,456.08 and 589.40 is: 813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.06 : 1,456.08 = 589.40 : x
  2. Step 2: Convert to fraction form
    1,055.06/1,456.08 = 589.40/x
  3. Step 3: Cross multiply
    1,055.06x = 1,456.08 × 589.40
  4. Step 4: Simplify right side
    1,055.06x = 858,214.98
  5. Step 5: Solve for x
    x = 858,214.98/1,055.06
  6. Step 6: Final answer
    x = 813.43

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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.