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Finding the Fourth Proportional to 1,057.64, 1,458.88 and 763.34

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Solution

The fourth proportional to 1,057.64, 1,458.88 and 763.34 is: 1,052.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.64 : 1,458.88 = 763.34 : x
  2. Step 2: Convert to fraction form
    1,057.64/1,458.88 = 763.34/x
  3. Step 3: Cross multiply
    1,057.64x = 1,458.88 × 763.34
  4. Step 4: Simplify right side
    1,057.64x = 1,113,612.26
  5. Step 5: Solve for x
    x = 1,113,612.26/1,057.64
  6. Step 6: Final answer
    x = 1,052.93

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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.