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Finding the Fourth Proportional to 1,054.16, 1,454.64 and 588.44

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Solution

The fourth proportional to 1,054.16, 1,454.64 and 588.44 is: 811.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.16 : 1,454.64 = 588.44 : x
  2. Step 2: Convert to fraction form
    1,054.16/1,454.64 = 588.44/x
  3. Step 3: Cross multiply
    1,054.16x = 1,454.64 × 588.44
  4. Step 4: Simplify right side
    1,054.16x = 855,968.36
  5. Step 5: Solve for x
    x = 855,968.36/1,054.16
  6. Step 6: Final answer
    x = 811.99

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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.