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Finding the Fourth Proportional to 949.05, 1,421.55 and 584.55

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Solution

The fourth proportional to 949.05, 1,421.55 and 584.55 is: 875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.05 : 1,421.55 = 584.55 : x
  2. Step 2: Convert to fraction form
    949.05/1,421.55 = 584.55/x
  3. Step 3: Cross multiply
    949.05x = 1,421.55 × 584.55
  4. Step 4: Simplify right side
    949.05x = 830,967.05
  5. Step 5: Solve for x
    x = 830,967.05/949.05
  6. Step 6: Final answer
    x = 875.58

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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.