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Finding the Fourth Proportional to 1,018.76, 1,405.54 and 599.01

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Solution

The fourth proportional to 1,018.76, 1,405.54 and 599.01 is: 826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.76 : 1,405.54 = 599.01 : x
  2. Step 2: Convert to fraction form
    1,018.76/1,405.54 = 599.01/x
  3. Step 3: Cross multiply
    1,018.76x = 1,405.54 × 599.01
  4. Step 4: Simplify right side
    1,018.76x = 841,932.53
  5. Step 5: Solve for x
    x = 841,932.53/1,018.76
  6. Step 6: Final answer
    x = 826.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.