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Finding the Fourth Proportional to 1,018.35, 1,405.32 and 552.60

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Solution

The fourth proportional to 1,018.35, 1,405.32 and 552.60 is: 762.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.35 : 1,405.32 = 552.60 : x
  2. Step 2: Convert to fraction form
    1,018.35/1,405.32 = 552.60/x
  3. Step 3: Cross multiply
    1,018.35x = 1,405.32 × 552.60
  4. Step 4: Simplify right side
    1,018.35x = 776,579.83
  5. Step 5: Solve for x
    x = 776,579.83/1,018.35
  6. Step 6: Final answer
    x = 762.59

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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.