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Finding the Fourth Proportional to 1,457.77, 2,185.44 and 579.72

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Solution

The fourth proportional to 1,457.77, 2,185.44 and 579.72 is: 869.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.77 : 2,185.44 = 579.72 : x
  2. Step 2: Convert to fraction form
    1,457.77/2,185.44 = 579.72/x
  3. Step 3: Cross multiply
    1,457.77x = 2,185.44 × 579.72
  4. Step 4: Simplify right side
    1,457.77x = 1,266,943.28
  5. Step 5: Solve for x
    x = 1,266,943.28/1,457.77
  6. Step 6: Final answer
    x = 869.10

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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.