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Finding the Fourth Proportional to 1,320.25, 1,980.47 and 346.35

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Solution

The fourth proportional to 1,320.25, 1,980.47 and 346.35 is: 519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.25 : 1,980.47 = 346.35 : x
  2. Step 2: Convert to fraction form
    1,320.25/1,980.47 = 346.35/x
  3. Step 3: Cross multiply
    1,320.25x = 1,980.47 × 346.35
  4. Step 4: Simplify right side
    1,320.25x = 685,924.15
  5. Step 5: Solve for x
    x = 685,924.15/1,320.25
  6. Step 6: Final answer
    x = 519.54

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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.