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Finding the Fourth Proportional to 1,057.88, 1,459.94 and 703.19

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Solution

The fourth proportional to 1,057.88, 1,459.94 and 703.19 is: 970.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.88 : 1,459.94 = 703.19 : x
  2. Step 2: Convert to fraction form
    1,057.88/1,459.94 = 703.19/x
  3. Step 3: Cross multiply
    1,057.88x = 1,459.94 × 703.19
  4. Step 4: Simplify right side
    1,057.88x = 1,026,604.39
  5. Step 5: Solve for x
    x = 1,026,604.39/1,057.88
  6. Step 6: Final answer
    x = 970.44

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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.