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Finding the Fourth Proportional to 1,018.36, 1,405.22 and 598.64

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Solution

The fourth proportional to 1,018.36, 1,405.22 and 598.64 is: 826.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.36 : 1,405.22 = 598.64 : x
  2. Step 2: Convert to fraction form
    1,018.36/1,405.22 = 598.64/x
  3. Step 3: Cross multiply
    1,018.36x = 1,405.22 × 598.64
  4. Step 4: Simplify right side
    1,018.36x = 841,220.90
  5. Step 5: Solve for x
    x = 841,220.90/1,018.36
  6. Step 6: Final answer
    x = 826.05

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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.