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Finding the Fourth Proportional to 1,653.47, 2,478.91 and 860.91

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Solution

The fourth proportional to 1,653.47, 2,478.91 and 860.91 is: 1,290.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.47 : 2,478.91 = 860.91 : x
  2. Step 2: Convert to fraction form
    1,653.47/2,478.91 = 860.91/x
  3. Step 3: Cross multiply
    1,653.47x = 2,478.91 × 860.91
  4. Step 4: Simplify right side
    1,653.47x = 2,134,120.30
  5. Step 5: Solve for x
    x = 2,134,120.30/1,653.47
  6. Step 6: Final answer
    x = 1,290.69

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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.