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Finding the Fourth Proportional to 916.55, 1,374.66 and 454.18

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Solution

The fourth proportional to 916.55, 1,374.66 and 454.18 is: 681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.55 : 1,374.66 = 454.18 : x
  2. Step 2: Convert to fraction form
    916.55/1,374.66 = 454.18/x
  3. Step 3: Cross multiply
    916.55x = 1,374.66 × 454.18
  4. Step 4: Simplify right side
    916.55x = 624,343.08
  5. Step 5: Solve for x
    x = 624,343.08/916.55
  6. Step 6: Final answer
    x = 681.19

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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.