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Finding the Fourth Proportional to 1,057.64, 1,580.45 and 792.36

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Solution

The fourth proportional to 1,057.64, 1,580.45 and 792.36 is: 1,184.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.64 : 1,580.45 = 792.36 : x
  2. Step 2: Convert to fraction form
    1,057.64/1,580.45 = 792.36/x
  3. Step 3: Cross multiply
    1,057.64x = 1,580.45 × 792.36
  4. Step 4: Simplify right side
    1,057.64x = 1,252,281.40
  5. Step 5: Solve for x
    x = 1,252,281.40/1,057.64
  6. Step 6: Final answer
    x = 1,184.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.