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Finding the Fourth Proportional to 1,216.30, 1,820.93 and 714.45

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Solution

The fourth proportional to 1,216.30, 1,820.93 and 714.45 is: 1,069.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.30 : 1,820.93 = 714.45 : x
  2. Step 2: Convert to fraction form
    1,216.30/1,820.93 = 714.45/x
  3. Step 3: Cross multiply
    1,216.30x = 1,820.93 × 714.45
  4. Step 4: Simplify right side
    1,216.30x = 1,300,961.65
  5. Step 5: Solve for x
    x = 1,300,961.65/1,216.30
  6. Step 6: Final answer
    x = 1,069.61

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1.5x scale

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.