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Finding the Fourth Proportional to 1,054.02, 1,454.63 and 588.34

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Solution

The fourth proportional to 1,054.02, 1,454.63 and 588.34 is: 811.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.02 : 1,454.63 = 588.34 : x
  2. Step 2: Convert to fraction form
    1,054.02/1,454.63 = 588.34/x
  3. Step 3: Cross multiply
    1,054.02x = 1,454.63 × 588.34
  4. Step 4: Simplify right side
    1,054.02x = 855,817.01
  5. Step 5: Solve for x
    x = 855,817.01/1,054.02
  6. Step 6: Final answer
    x = 811.96

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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.