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Finding the Fourth Proportional to 1,411.44, 2,117.14 and 578.32

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Solution

The fourth proportional to 1,411.44, 2,117.14 and 578.32 is: 867.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.44 : 2,117.14 = 578.32 : x
  2. Step 2: Convert to fraction form
    1,411.44/2,117.14 = 578.32/x
  3. Step 3: Cross multiply
    1,411.44x = 2,117.14 × 578.32
  4. Step 4: Simplify right side
    1,411.44x = 1,224,389.58
  5. Step 5: Solve for x
    x = 1,224,389.58/1,411.44
  6. Step 6: Final answer
    x = 867.47

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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.