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Finding the Fourth Proportional to 670.95, 1,006.16 and 260.28

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Solution

The fourth proportional to 670.95, 1,006.16 and 260.28 is: 390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.95 : 1,006.16 = 260.28 : x
  2. Step 2: Convert to fraction form
    670.95/1,006.16 = 260.28/x
  3. Step 3: Cross multiply
    670.95x = 1,006.16 × 260.28
  4. Step 4: Simplify right side
    670.95x = 261,882.02
  5. Step 5: Solve for x
    x = 261,882.02/670.95
  6. Step 6: Final answer
    x = 390.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.