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Finding the Fourth Proportional to 1,457.58, 2,186.40 and 580.24

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Solution

The fourth proportional to 1,457.58, 2,186.40 and 580.24 is: 870.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.58 : 2,186.40 = 580.24 : x
  2. Step 2: Convert to fraction form
    1,457.58/2,186.40 = 580.24/x
  3. Step 3: Cross multiply
    1,457.58x = 2,186.40 × 580.24
  4. Step 4: Simplify right side
    1,457.58x = 1,268,636.74
  5. Step 5: Solve for x
    x = 1,268,636.74/1,457.58
  6. Step 6: Final answer
    x = 870.37

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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.