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Finding the Fourth Proportional to 953.10, 1,314.90 and 659.07

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Solution

The fourth proportional to 953.10, 1,314.90 and 659.07 is: 909.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.10 : 1,314.90 = 659.07 : x
  2. Step 2: Convert to fraction form
    953.10/1,314.90 = 659.07/x
  3. Step 3: Cross multiply
    953.10x = 1,314.90 × 659.07
  4. Step 4: Simplify right side
    953.10x = 866,611.14
  5. Step 5: Solve for x
    x = 866,611.14/953.10
  6. Step 6: Final answer
    x = 909.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.