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Finding the Fourth Proportional to 1,154.71, 1,728.30 and 846.50

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Solution

The fourth proportional to 1,154.71, 1,728.30 and 846.50 is: 1,266.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.71 : 1,728.30 = 846.50 : x
  2. Step 2: Convert to fraction form
    1,154.71/1,728.30 = 846.50/x
  3. Step 3: Cross multiply
    1,154.71x = 1,728.30 × 846.50
  4. Step 4: Simplify right side
    1,154.71x = 1,463,000.48
  5. Step 5: Solve for x
    x = 1,463,000.48/1,154.71
  6. Step 6: Final answer
    x = 1,266.98

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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.