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Finding the Fourth Proportional to 880.46, 1,214.51 and 581.72

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Solution

The fourth proportional to 880.46, 1,214.51 and 581.72 is: 802.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.46 : 1,214.51 = 581.72 : x
  2. Step 2: Convert to fraction form
    880.46/1,214.51 = 581.72/x
  3. Step 3: Cross multiply
    880.46x = 1,214.51 × 581.72
  4. Step 4: Simplify right side
    880.46x = 706,495.78
  5. Step 5: Solve for x
    x = 706,495.78/880.46
  6. Step 6: Final answer
    x = 802.42

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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.