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Finding the Fourth Proportional to 587.64, 811.77 and 543.90

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Solution

The fourth proportional to 587.64, 811.77 and 543.90 is: 751.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.64 : 811.77 = 543.90 : x
  2. Step 2: Convert to fraction form
    587.64/811.77 = 543.90/x
  3. Step 3: Cross multiply
    587.64x = 811.77 × 543.90
  4. Step 4: Simplify right side
    587.64x = 441,521.70
  5. Step 5: Solve for x
    x = 441,521.70/587.64
  6. Step 6: Final answer
    x = 751.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.