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Finding the Fourth Proportional to 1,018.69, 1,405.14 and 703.42

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Solution

The fourth proportional to 1,018.69, 1,405.14 and 703.42 is: 970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.69 : 1,405.14 = 703.42 : x
  2. Step 2: Convert to fraction form
    1,018.69/1,405.14 = 703.42/x
  3. Step 3: Cross multiply
    1,018.69x = 1,405.14 × 703.42
  4. Step 4: Simplify right side
    1,018.69x = 988,403.58
  5. Step 5: Solve for x
    x = 988,403.58/1,018.69
  6. Step 6: Final answer
    x = 970.27

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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.