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Finding the Fourth Proportional to 1,407.71, 2,111.12 and 585.77

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Solution

The fourth proportional to 1,407.71, 2,111.12 and 585.77 is: 878.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.71 : 2,111.12 = 585.77 : x
  2. Step 2: Convert to fraction form
    1,407.71/2,111.12 = 585.77/x
  3. Step 3: Cross multiply
    1,407.71x = 2,111.12 × 585.77
  4. Step 4: Simplify right side
    1,407.71x = 1,236,617.28
  5. Step 5: Solve for x
    x = 1,236,617.28/1,407.71
  6. Step 6: Final answer
    x = 878.46

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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.