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Finding the Fourth Proportional to 1,470.66, 2,206.85 and 649.01

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Solution

The fourth proportional to 1,470.66, 2,206.85 and 649.01 is: 973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.66 : 2,206.85 = 649.01 : x
  2. Step 2: Convert to fraction form
    1,470.66/2,206.85 = 649.01/x
  3. Step 3: Cross multiply
    1,470.66x = 2,206.85 × 649.01
  4. Step 4: Simplify right side
    1,470.66x = 1,432,269.99
  5. Step 5: Solve for x
    x = 1,432,269.99/1,470.66
  6. Step 6: Final answer
    x = 973.90

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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.