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Finding the Fourth Proportional to 1,055.76, 1,583.66 and 286.26

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Solution

The fourth proportional to 1,055.76, 1,583.66 and 286.26 is: 429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.76 : 1,583.66 = 286.26 : x
  2. Step 2: Convert to fraction form
    1,055.76/1,583.66 = 286.26/x
  3. Step 3: Cross multiply
    1,055.76x = 1,583.66 × 286.26
  4. Step 4: Simplify right side
    1,055.76x = 453,337.08
  5. Step 5: Solve for x
    x = 453,337.08/1,055.76
  6. Step 6: Final answer
    x = 429.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.