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Finding the Fourth Proportional to 1,457.00, 2,010.69 and 793.88

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Solution

The fourth proportional to 1,457.00, 2,010.69 and 793.88 is: 1,095.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.00 : 2,010.69 = 793.88 : x
  2. Step 2: Convert to fraction form
    1,457.00/2,010.69 = 793.88/x
  3. Step 3: Cross multiply
    1,457.00x = 2,010.69 × 793.88
  4. Step 4: Simplify right side
    1,457.00x = 1,596,242.61
  5. Step 5: Solve for x
    x = 1,596,242.61/1,457.00
  6. Step 6: Final answer
    x = 1,095.57

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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.