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Finding the Fourth Proportional to 1,348.95, 1,860.49 and 877.00

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Solution

The fourth proportional to 1,348.95, 1,860.49 and 877.00 is: 1,209.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.95 : 1,860.49 = 877.00 : x
  2. Step 2: Convert to fraction form
    1,348.95/1,860.49 = 877.00/x
  3. Step 3: Cross multiply
    1,348.95x = 1,860.49 × 877.00
  4. Step 4: Simplify right side
    1,348.95x = 1,631,644.43
  5. Step 5: Solve for x
    x = 1,631,644.43/1,348.95
  6. Step 6: Final answer
    x = 1,209.57

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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.