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Finding the Fourth Proportional to 1,885.76, 2,828.58 and 586.88

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Solution

The fourth proportional to 1,885.76, 2,828.58 and 586.88 is: 880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.76 : 2,828.58 = 586.88 : x
  2. Step 2: Convert to fraction form
    1,885.76/2,828.58 = 586.88/x
  3. Step 3: Cross multiply
    1,885.76x = 2,828.58 × 586.88
  4. Step 4: Simplify right side
    1,885.76x = 1,660,037.03
  5. Step 5: Solve for x
    x = 1,660,037.03/1,885.76
  6. Step 6: Final answer
    x = 880.30

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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.