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Finding the Fourth Proportional to 1,311.92, 1,810.51 and 840.22

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Solution

The fourth proportional to 1,311.92, 1,810.51 and 840.22 is: 1,159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.92 : 1,810.51 = 840.22 : x
  2. Step 2: Convert to fraction form
    1,311.92/1,810.51 = 840.22/x
  3. Step 3: Cross multiply
    1,311.92x = 1,810.51 × 840.22
  4. Step 4: Simplify right side
    1,311.92x = 1,521,226.71
  5. Step 5: Solve for x
    x = 1,521,226.71/1,311.92
  6. Step 6: Final answer
    x = 1,159.54

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1.5x scale

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.