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Finding the Fourth Proportional to 917.07, 1,376.04 and 454.89

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Solution

The fourth proportional to 917.07, 1,376.04 and 454.89 is: 682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.07 : 1,376.04 = 454.89 : x
  2. Step 2: Convert to fraction form
    917.07/1,376.04 = 454.89/x
  3. Step 3: Cross multiply
    917.07x = 1,376.04 × 454.89
  4. Step 4: Simplify right side
    917.07x = 625,946.84
  5. Step 5: Solve for x
    x = 625,946.84/917.07
  6. Step 6: Final answer
    x = 682.55

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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.