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Finding the Fourth Proportional to 846.88, 1,270.30 and 435.80

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Solution

The fourth proportional to 846.88, 1,270.30 and 435.80 is: 653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.88 : 1,270.30 = 435.80 : x
  2. Step 2: Convert to fraction form
    846.88/1,270.30 = 435.80/x
  3. Step 3: Cross multiply
    846.88x = 1,270.30 × 435.80
  4. Step 4: Simplify right side
    846.88x = 553,596.74
  5. Step 5: Solve for x
    x = 553,596.74/846.88
  6. Step 6: Final answer
    x = 653.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.