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Finding the Fourth Proportional to 1,470.69, 2,206.31 and 604.98

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Solution

The fourth proportional to 1,470.69, 2,206.31 and 604.98 is: 907.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.69 : 2,206.31 = 604.98 : x
  2. Step 2: Convert to fraction form
    1,470.69/2,206.31 = 604.98/x
  3. Step 3: Cross multiply
    1,470.69x = 2,206.31 × 604.98
  4. Step 4: Simplify right side
    1,470.69x = 1,334,770.40
  5. Step 5: Solve for x
    x = 1,334,770.40/1,470.69
  6. Step 6: Final answer
    x = 907.58

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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.