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Finding the Fourth Proportional to 1,328.89, 1,830.70 and 929.81

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Solution

The fourth proportional to 1,328.89, 1,830.70 and 929.81 is: 1,280.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.89 : 1,830.70 = 929.81 : x
  2. Step 2: Convert to fraction form
    1,328.89/1,830.70 = 929.81/x
  3. Step 3: Cross multiply
    1,328.89x = 1,830.70 × 929.81
  4. Step 4: Simplify right side
    1,328.89x = 1,702,195.18
  5. Step 5: Solve for x
    x = 1,702,195.18/1,328.89
  6. Step 6: Final answer
    x = 1,280.92

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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.