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Finding the Fourth Proportional to 1,018.91, 1,406.08 and 576.81

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Solution

The fourth proportional to 1,018.91, 1,406.08 and 576.81 is: 795.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.91 : 1,406.08 = 576.81 : x
  2. Step 2: Convert to fraction form
    1,018.91/1,406.08 = 576.81/x
  3. Step 3: Cross multiply
    1,018.91x = 1,406.08 × 576.81
  4. Step 4: Simplify right side
    1,018.91x = 811,041.00
  5. Step 5: Solve for x
    x = 811,041.00/1,018.91
  6. Step 6: Final answer
    x = 795.99

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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.