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Finding the Fourth Proportional to 1,102.81, 1,654.64 and 582.79

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Solution

The fourth proportional to 1,102.81, 1,654.64 and 582.79 is: 874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.81 : 1,654.64 = 582.79 : x
  2. Step 2: Convert to fraction form
    1,102.81/1,654.64 = 582.79/x
  3. Step 3: Cross multiply
    1,102.81x = 1,654.64 × 582.79
  4. Step 4: Simplify right side
    1,102.81x = 964,307.65
  5. Step 5: Solve for x
    x = 964,307.65/1,102.81
  6. Step 6: Final answer
    x = 874.41

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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.