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Finding the Fourth Proportional to 957.89, 1,434.07 and 590.19

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Solution

The fourth proportional to 957.89, 1,434.07 and 590.19 is: 883.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.89 : 1,434.07 = 590.19 : x
  2. Step 2: Convert to fraction form
    957.89/1,434.07 = 590.19/x
  3. Step 3: Cross multiply
    957.89x = 1,434.07 × 590.19
  4. Step 4: Simplify right side
    957.89x = 846,369.13
  5. Step 5: Solve for x
    x = 846,369.13/957.89
  6. Step 6: Final answer
    x = 883.57

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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.