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Finding the Fourth Proportional to 967.10, 1,442.14 and 958.32

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Solution

The fourth proportional to 967.10, 1,442.14 and 958.32 is: 1,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.10 : 1,442.14 = 958.32 : x
  2. Step 2: Convert to fraction form
    967.10/1,442.14 = 958.32/x
  3. Step 3: Cross multiply
    967.10x = 1,442.14 × 958.32
  4. Step 4: Simplify right side
    967.10x = 1,382,029.21
  5. Step 5: Solve for x
    x = 1,382,029.21/967.10
  6. Step 6: Final answer
    x = 1,429.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.