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Finding the Fourth Proportional to 953.19, 1,312.55 and 874.26

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Solution

The fourth proportional to 953.19, 1,312.55 and 874.26 is: 1,203.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.19 : 1,312.55 = 874.26 : x
  2. Step 2: Convert to fraction form
    953.19/1,312.55 = 874.26/x
  3. Step 3: Cross multiply
    953.19x = 1,312.55 × 874.26
  4. Step 4: Simplify right side
    953.19x = 1,147,509.96
  5. Step 5: Solve for x
    x = 1,147,509.96/953.19
  6. Step 6: Final answer
    x = 1,203.86

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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.