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Finding the Fourth Proportional to 1,397.64, 1,929.06 and 866.68

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Solution

The fourth proportional to 1,397.64, 1,929.06 and 866.68 is: 1,196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.64 : 1,929.06 = 866.68 : x
  2. Step 2: Convert to fraction form
    1,397.64/1,929.06 = 866.68/x
  3. Step 3: Cross multiply
    1,397.64x = 1,929.06 × 866.68
  4. Step 4: Simplify right side
    1,397.64x = 1,671,877.72
  5. Step 5: Solve for x
    x = 1,671,877.72/1,397.64
  6. Step 6: Final answer
    x = 1,196.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.