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Finding the Fourth Proportional to 860.40, 1,187.35 and 467.42

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Solution

The fourth proportional to 860.40, 1,187.35 and 467.42 is: 645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.40 : 1,187.35 = 467.42 : x
  2. Step 2: Convert to fraction form
    860.40/1,187.35 = 467.42/x
  3. Step 3: Cross multiply
    860.40x = 1,187.35 × 467.42
  4. Step 4: Simplify right side
    860.40x = 554,991.14
  5. Step 5: Solve for x
    x = 554,991.14/860.40
  6. Step 6: Final answer
    x = 645.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.