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Finding the Fourth Proportional to 950.19, 1,423.18 and 583.89

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Solution

The fourth proportional to 950.19, 1,423.18 and 583.89 is: 874.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.19 : 1,423.18 = 583.89 : x
  2. Step 2: Convert to fraction form
    950.19/1,423.18 = 583.89/x
  3. Step 3: Cross multiply
    950.19x = 1,423.18 × 583.89
  4. Step 4: Simplify right side
    950.19x = 830,980.57
  5. Step 5: Solve for x
    x = 830,980.57/950.19
  6. Step 6: Final answer
    x = 874.54

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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.