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Finding the Fourth Proportional to 1,136.95, 1,705.43 and 406.01

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Solution

The fourth proportional to 1,136.95, 1,705.43 and 406.01 is: 609.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.95 : 1,705.43 = 406.01 : x
  2. Step 2: Convert to fraction form
    1,136.95/1,705.43 = 406.01/x
  3. Step 3: Cross multiply
    1,136.95x = 1,705.43 × 406.01
  4. Step 4: Simplify right side
    1,136.95x = 692,426.91
  5. Step 5: Solve for x
    x = 692,426.91/1,136.95
  6. Step 6: Final answer
    x = 609.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.