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Finding the Fourth Proportional to 1,018.19, 1,405.16 and 598.57

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Solution

The fourth proportional to 1,018.19, 1,405.16 and 598.57 is: 826.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.19 : 1,405.16 = 598.57 : x
  2. Step 2: Convert to fraction form
    1,018.19/1,405.16 = 598.57/x
  3. Step 3: Cross multiply
    1,018.19x = 1,405.16 × 598.57
  4. Step 4: Simplify right side
    1,018.19x = 841,086.62
  5. Step 5: Solve for x
    x = 841,086.62/1,018.19
  6. Step 6: Final answer
    x = 826.06

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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.