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Finding the Fourth Proportional to 1,184.88, 1,775.16 and 1,002

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Solution

The fourth proportional to 1,184.88, 1,775.16 and 1,002 is: 1,501.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.88 : 1,775.16 = 1,002 : x
  2. Step 2: Convert to fraction form
    1,184.88/1,775.16 = 1,002/x
  3. Step 3: Cross multiply
    1,184.88x = 1,775.16 × 1,002
  4. Step 4: Simplify right side
    1,184.88x = 1,778,710.32
  5. Step 5: Solve for x
    x = 1,778,710.32/1,184.88
  6. Step 6: Final answer
    x = 1,501.17

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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.