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Finding the Fourth Proportional to 1,407.62, 2,111.52 and 585.96

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Solution

The fourth proportional to 1,407.62, 2,111.52 and 585.96 is: 878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.62 : 2,111.52 = 585.96 : x
  2. Step 2: Convert to fraction form
    1,407.62/2,111.52 = 585.96/x
  3. Step 3: Cross multiply
    1,407.62x = 2,111.52 × 585.96
  4. Step 4: Simplify right side
    1,407.62x = 1,237,266.26
  5. Step 5: Solve for x
    x = 1,237,266.26/1,407.62
  6. Step 6: Final answer
    x = 878.98

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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.