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Finding the Fourth Proportional to 1,325.77, 1,829.57 and 801.70

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Solution

The fourth proportional to 1,325.77, 1,829.57 and 801.70 is: 1,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.77 : 1,829.57 = 801.70 : x
  2. Step 2: Convert to fraction form
    1,325.77/1,829.57 = 801.70/x
  3. Step 3: Cross multiply
    1,325.77x = 1,829.57 × 801.70
  4. Step 4: Simplify right side
    1,325.77x = 1,466,753.11
  5. Step 5: Solve for x
    x = 1,466,753.11/1,325.77
  6. Step 6: Final answer
    x = 1,106.34

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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.