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Finding the Fourth Proportional to 1,470.22, 2,205.36 and 497.00

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Solution

The fourth proportional to 1,470.22, 2,205.36 and 497.00 is: 745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.22 : 2,205.36 = 497.00 : x
  2. Step 2: Convert to fraction form
    1,470.22/2,205.36 = 497.00/x
  3. Step 3: Cross multiply
    1,470.22x = 2,205.36 × 497.00
  4. Step 4: Simplify right side
    1,470.22x = 1,096,069.43
  5. Step 5: Solve for x
    x = 1,096,069.43/1,470.22
  6. Step 6: Final answer
    x = 745.52

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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.