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Finding the Fourth Proportional to 1,470.04, 2,205.10 and 444.04

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Solution

The fourth proportional to 1,470.04, 2,205.10 and 444.04 is: 666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.04 : 2,205.10 = 444.04 : x
  2. Step 2: Convert to fraction form
    1,470.04/2,205.10 = 444.04/x
  3. Step 3: Cross multiply
    1,470.04x = 2,205.10 × 444.04
  4. Step 4: Simplify right side
    1,470.04x = 979,152.60
  5. Step 5: Solve for x
    x = 979,152.60/1,470.04
  6. Step 6: Final answer
    x = 666.07

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