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Finding the Fourth Proportional to 856.83, 1,174.74 and 841.26

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Solution

The fourth proportional to 856.83, 1,174.74 and 841.26 is: 1,153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.83 : 1,174.74 = 841.26 : x
  2. Step 2: Convert to fraction form
    856.83/1,174.74 = 841.26/x
  3. Step 3: Cross multiply
    856.83x = 1,174.74 × 841.26
  4. Step 4: Simplify right side
    856.83x = 988,261.77
  5. Step 5: Solve for x
    x = 988,261.77/856.83
  6. Step 6: Final answer
    x = 1,153.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.