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Finding the Fourth Proportional to 860.58, 1,290.10 and 415.62

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Solution

The fourth proportional to 860.58, 1,290.10 and 415.62 is: 623.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.58 : 1,290.10 = 415.62 : x
  2. Step 2: Convert to fraction form
    860.58/1,290.10 = 415.62/x
  3. Step 3: Cross multiply
    860.58x = 1,290.10 × 415.62
  4. Step 4: Simplify right side
    860.58x = 536,191.36
  5. Step 5: Solve for x
    x = 536,191.36/860.58
  6. Step 6: Final answer
    x = 623.06

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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.