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Finding the Fourth Proportional to 1,506.46, 2,078.83 and 877.02

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Solution

The fourth proportional to 1,506.46, 2,078.83 and 877.02 is: 1,210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.46 : 2,078.83 = 877.02 : x
  2. Step 2: Convert to fraction form
    1,506.46/2,078.83 = 877.02/x
  3. Step 3: Cross multiply
    1,506.46x = 2,078.83 × 877.02
  4. Step 4: Simplify right side
    1,506.46x = 1,823,175.49
  5. Step 5: Solve for x
    x = 1,823,175.49/1,506.46
  6. Step 6: Final answer
    x = 1,210.24

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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.