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Finding the Fourth Proportional to 1,046.08, 1,559.98 and 916.68

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Solution

The fourth proportional to 1,046.08, 1,559.98 and 916.68 is: 1,367.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.08 : 1,559.98 = 916.68 : x
  2. Step 2: Convert to fraction form
    1,046.08/1,559.98 = 916.68/x
  3. Step 3: Cross multiply
    1,046.08x = 1,559.98 × 916.68
  4. Step 4: Simplify right side
    1,046.08x = 1,429,997.88
  5. Step 5: Solve for x
    x = 1,429,997.88/1,046.08
  6. Step 6: Final answer
    x = 1,367.01

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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.