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Finding the Fourth Proportional to 846.58, 1,271.88 and 554.32

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Solution

The fourth proportional to 846.58, 1,271.88 and 554.32 is: 832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.58 : 1,271.88 = 554.32 : x
  2. Step 2: Convert to fraction form
    846.58/1,271.88 = 554.32/x
  3. Step 3: Cross multiply
    846.58x = 1,271.88 × 554.32
  4. Step 4: Simplify right side
    846.58x = 705,028.52
  5. Step 5: Solve for x
    x = 705,028.52/846.58
  6. Step 6: Final answer
    x = 832.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.