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Finding the Fourth Proportional to 951.84, 1,416.51 and 917.28

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Solution

The fourth proportional to 951.84, 1,416.51 and 917.28 is: 1,365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.84 : 1,416.51 = 917.28 : x
  2. Step 2: Convert to fraction form
    951.84/1,416.51 = 917.28/x
  3. Step 3: Cross multiply
    951.84x = 1,416.51 × 917.28
  4. Step 4: Simplify right side
    951.84x = 1,299,336.29
  5. Step 5: Solve for x
    x = 1,299,336.29/951.84
  6. Step 6: Final answer
    x = 1,365.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.