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Finding the Fourth Proportional to 1,068.85, 1,602.02 and 947.35

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Solution

The fourth proportional to 1,068.85, 1,602.02 and 947.35 is: 1,419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.85 : 1,602.02 = 947.35 : x
  2. Step 2: Convert to fraction form
    1,068.85/1,602.02 = 947.35/x
  3. Step 3: Cross multiply
    1,068.85x = 1,602.02 × 947.35
  4. Step 4: Simplify right side
    1,068.85x = 1,517,672.01
  5. Step 5: Solve for x
    x = 1,517,672.01/1,068.85
  6. Step 6: Final answer
    x = 1,419.91

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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.