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Finding the Fourth Proportional to 1,002.56, 1,383.88 and 707.98

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Solution

The fourth proportional to 1,002.56, 1,383.88 and 707.98 is: 977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.56 : 1,383.88 = 707.98 : x
  2. Step 2: Convert to fraction form
    1,002.56/1,383.88 = 707.98/x
  3. Step 3: Cross multiply
    1,002.56x = 1,383.88 × 707.98
  4. Step 4: Simplify right side
    1,002.56x = 979,759.36
  5. Step 5: Solve for x
    x = 979,759.36/1,002.56
  6. Step 6: Final answer
    x = 977.26

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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.