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Finding the Fourth Proportional to 1,355.64, 1,869.45 and 824.60

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Solution

The fourth proportional to 1,355.64, 1,869.45 and 824.60 is: 1,137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.64 : 1,869.45 = 824.60 : x
  2. Step 2: Convert to fraction form
    1,355.64/1,869.45 = 824.60/x
  3. Step 3: Cross multiply
    1,355.64x = 1,869.45 × 824.60
  4. Step 4: Simplify right side
    1,355.64x = 1,541,539.12
  5. Step 5: Solve for x
    x = 1,541,539.12/1,355.64
  6. Step 6: Final answer
    x = 1,137.13

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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.