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Finding the Fourth Proportional to 1,062.74, 1,594.71 and 916.94

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Solution

The fourth proportional to 1,062.74, 1,594.71 and 916.94 is: 1,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.74 : 1,594.71 = 916.94 : x
  2. Step 2: Convert to fraction form
    1,062.74/1,594.71 = 916.94/x
  3. Step 3: Cross multiply
    1,062.74x = 1,594.71 × 916.94
  4. Step 4: Simplify right side
    1,062.74x = 1,462,245.41
  5. Step 5: Solve for x
    x = 1,462,245.41/1,062.74
  6. Step 6: Final answer
    x = 1,375.93

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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.