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Finding the Fourth Proportional to 1,457.49, 2,187.35 and 533.92

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Solution

The fourth proportional to 1,457.49, 2,187.35 and 533.92 is: 801.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.49 : 2,187.35 = 533.92 : x
  2. Step 2: Convert to fraction form
    1,457.49/2,187.35 = 533.92/x
  3. Step 3: Cross multiply
    1,457.49x = 2,187.35 × 533.92
  4. Step 4: Simplify right side
    1,457.49x = 1,167,867.24
  5. Step 5: Solve for x
    x = 1,167,867.24/1,457.49
  6. Step 6: Final answer
    x = 801.29

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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.