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Finding the Fourth Proportional to 1,018.04, 1,404.12 and 703.83

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Solution

The fourth proportional to 1,018.04, 1,404.12 and 703.83 is: 970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.04 : 1,404.12 = 703.83 : x
  2. Step 2: Convert to fraction form
    1,018.04/1,404.12 = 703.83/x
  3. Step 3: Cross multiply
    1,018.04x = 1,404.12 × 703.83
  4. Step 4: Simplify right side
    1,018.04x = 988,258.82
  5. Step 5: Solve for x
    x = 988,258.82/1,018.04
  6. Step 6: Final answer
    x = 970.75

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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.