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Finding the Fourth Proportional to 1,018.64, 1,406.43 and 899.70

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Solution

The fourth proportional to 1,018.64, 1,406.43 and 899.70 is: 1,242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.64 : 1,406.43 = 899.70 : x
  2. Step 2: Convert to fraction form
    1,018.64/1,406.43 = 899.70/x
  3. Step 3: Cross multiply
    1,018.64x = 1,406.43 × 899.70
  4. Step 4: Simplify right side
    1,018.64x = 1,265,365.07
  5. Step 5: Solve for x
    x = 1,265,365.07/1,018.64
  6. Step 6: Final answer
    x = 1,242.22

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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.