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Finding the Fourth Proportional to 1,457.76, 2,011.62 and 828.35

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Solution

The fourth proportional to 1,457.76, 2,011.62 and 828.35 is: 1,143.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.76 : 2,011.62 = 828.35 : x
  2. Step 2: Convert to fraction form
    1,457.76/2,011.62 = 828.35/x
  3. Step 3: Cross multiply
    1,457.76x = 2,011.62 × 828.35
  4. Step 4: Simplify right side
    1,457.76x = 1,666,325.43
  5. Step 5: Solve for x
    x = 1,666,325.43/1,457.76
  6. Step 6: Final answer
    x = 1,143.07

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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.