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Finding the Fourth Proportional to 953.27, 1,312.59 and 834.58

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Solution

The fourth proportional to 953.27, 1,312.59 and 834.58 is: 1,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.27 : 1,312.59 = 834.58 : x
  2. Step 2: Convert to fraction form
    953.27/1,312.59 = 834.58/x
  3. Step 3: Cross multiply
    953.27x = 1,312.59 × 834.58
  4. Step 4: Simplify right side
    953.27x = 1,095,457.75
  5. Step 5: Solve for x
    x = 1,095,457.75/953.27
  6. Step 6: Final answer
    x = 1,149.16

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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.