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Finding the Fourth Proportional to 949.19, 1,421.69 and 582.89

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Solution

The fourth proportional to 949.19, 1,421.69 and 582.89 is: 873.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.19 : 1,421.69 = 582.89 : x
  2. Step 2: Convert to fraction form
    949.19/1,421.69 = 582.89/x
  3. Step 3: Cross multiply
    949.19x = 1,421.69 × 582.89
  4. Step 4: Simplify right side
    949.19x = 828,678.86
  5. Step 5: Solve for x
    x = 828,678.86/949.19
  6. Step 6: Final answer
    x = 873.04

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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.