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Finding the Fourth Proportional to 894.76, 1,341.71 and 278.53

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Solution

The fourth proportional to 894.76, 1,341.71 and 278.53 is: 417.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.76 : 1,341.71 = 278.53 : x
  2. Step 2: Convert to fraction form
    894.76/1,341.71 = 278.53/x
  3. Step 3: Cross multiply
    894.76x = 1,341.71 × 278.53
  4. Step 4: Simplify right side
    894.76x = 373,702.78
  5. Step 5: Solve for x
    x = 373,702.78/894.76
  6. Step 6: Final answer
    x = 417.66

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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.