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Finding the Fourth Proportional to 1,002.96, 1,384.36 and 708.28

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Solution

The fourth proportional to 1,002.96, 1,384.36 and 708.28 is: 977.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.96 : 1,384.36 = 708.28 : x
  2. Step 2: Convert to fraction form
    1,002.96/1,384.36 = 708.28/x
  3. Step 3: Cross multiply
    1,002.96x = 1,384.36 × 708.28
  4. Step 4: Simplify right side
    1,002.96x = 980,514.50
  5. Step 5: Solve for x
    x = 980,514.50/1,002.96
  6. Step 6: Final answer
    x = 977.62

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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.