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Finding the Fourth Proportional to 949.65, 1,421.70 and 583.32

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Solution

The fourth proportional to 949.65, 1,421.70 and 583.32 is: 873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.65 : 1,421.70 = 583.32 : x
  2. Step 2: Convert to fraction form
    949.65/1,421.70 = 583.32/x
  3. Step 3: Cross multiply
    949.65x = 1,421.70 × 583.32
  4. Step 4: Simplify right side
    949.65x = 829,306.04
  5. Step 5: Solve for x
    x = 829,306.04/949.65
  6. Step 6: Final answer
    x = 873.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.