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Finding the Fourth Proportional to 1,055.33, 1,582.98 and 285.83

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Solution

The fourth proportional to 1,055.33, 1,582.98 and 285.83 is: 428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.33 : 1,582.98 = 285.83 : x
  2. Step 2: Convert to fraction form
    1,055.33/1,582.98 = 285.83/x
  3. Step 3: Cross multiply
    1,055.33x = 1,582.98 × 285.83
  4. Step 4: Simplify right side
    1,055.33x = 452,460.12
  5. Step 5: Solve for x
    x = 452,460.12/1,055.33
  6. Step 6: Final answer
    x = 428.74

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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.