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Finding the Fourth Proportional to 786.19, 1,084.95 and 432.15

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Solution

The fourth proportional to 786.19, 1,084.95 and 432.15 is: 596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.19 : 1,084.95 = 432.15 : x
  2. Step 2: Convert to fraction form
    786.19/1,084.95 = 432.15/x
  3. Step 3: Cross multiply
    786.19x = 1,084.95 × 432.15
  4. Step 4: Simplify right side
    786.19x = 468,855.72
  5. Step 5: Solve for x
    x = 468,855.72/786.19
  6. Step 6: Final answer
    x = 596.36

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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.