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Finding the Fourth Proportional to 1,410.08, 1,946.01 and 820.57

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Solution

The fourth proportional to 1,410.08, 1,946.01 and 820.57 is: 1,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.08 : 1,946.01 = 820.57 : x
  2. Step 2: Convert to fraction form
    1,410.08/1,946.01 = 820.57/x
  3. Step 3: Cross multiply
    1,410.08x = 1,946.01 × 820.57
  4. Step 4: Simplify right side
    1,410.08x = 1,596,827.70
  5. Step 5: Solve for x
    x = 1,596,827.70/1,410.08
  6. Step 6: Final answer
    x = 1,132.44

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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.