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Finding the Fourth Proportional to 1,411.77, 1,946.97 and 913.89

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Solution

The fourth proportional to 1,411.77, 1,946.97 and 913.89 is: 1,260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.77 : 1,946.97 = 913.89 : x
  2. Step 2: Convert to fraction form
    1,411.77/1,946.97 = 913.89/x
  3. Step 3: Cross multiply
    1,411.77x = 1,946.97 × 913.89
  4. Step 4: Simplify right side
    1,411.77x = 1,779,311.55
  5. Step 5: Solve for x
    x = 1,779,311.55/1,411.77
  6. Step 6: Final answer
    x = 1,260.34

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