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Finding the Fourth Proportional to 876.94, 1,210.14 and 484

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Solution

The fourth proportional to 876.94, 1,210.14 and 484 is: 667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.94 : 1,210.14 = 484 : x
  2. Step 2: Convert to fraction form
    876.94/1,210.14 = 484/x
  3. Step 3: Cross multiply
    876.94x = 1,210.14 × 484
  4. Step 4: Simplify right side
    876.94x = 585,707.76
  5. Step 5: Solve for x
    x = 585,707.76/876.94
  6. Step 6: Final answer
    x = 667.90

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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.