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Finding the Fourth Proportional to 1,486.76, 2,051.75 and 823.62

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Solution

The fourth proportional to 1,486.76, 2,051.75 and 823.62 is: 1,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.76 : 2,051.75 = 823.62 : x
  2. Step 2: Convert to fraction form
    1,486.76/2,051.75 = 823.62/x
  3. Step 3: Cross multiply
    1,486.76x = 2,051.75 × 823.62
  4. Step 4: Simplify right side
    1,486.76x = 1,689,869.00
  5. Step 5: Solve for x
    x = 1,689,869.00/1,486.76
  6. Step 6: Final answer
    x = 1,136.61

Related Problems

Find fourth proportional to 743.38, 1,025.87 and 411.81
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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.