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Finding the Fourth Proportional to 1,470.61, 2,205.14 and 648.50

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Solution

The fourth proportional to 1,470.61, 2,205.14 and 648.50 is: 972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.61 : 2,205.14 = 648.50 : x
  2. Step 2: Convert to fraction form
    1,470.61/2,205.14 = 648.50/x
  3. Step 3: Cross multiply
    1,470.61x = 2,205.14 × 648.50
  4. Step 4: Simplify right side
    1,470.61x = 1,430,019.02
  5. Step 5: Solve for x
    x = 1,430,019.02/1,470.61
  6. Step 6: Final answer
    x = 972.40

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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.