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Finding the Fourth Proportional to 1,047.79, 1,446.02 and 916.57

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Solution

The fourth proportional to 1,047.79, 1,446.02 and 916.57 is: 1,264.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.79 : 1,446.02 = 916.57 : x
  2. Step 2: Convert to fraction form
    1,047.79/1,446.02 = 916.57/x
  3. Step 3: Cross multiply
    1,047.79x = 1,446.02 × 916.57
  4. Step 4: Simplify right side
    1,047.79x = 1,325,378.55
  5. Step 5: Solve for x
    x = 1,325,378.55/1,047.79
  6. Step 6: Final answer
    x = 1,264.93

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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.