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Finding the Fourth Proportional to 899.76, 1,348.02 and 467.40

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Solution

The fourth proportional to 899.76, 1,348.02 and 467.40 is: 700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.76 : 1,348.02 = 467.40 : x
  2. Step 2: Convert to fraction form
    899.76/1,348.02 = 467.40/x
  3. Step 3: Cross multiply
    899.76x = 1,348.02 × 467.40
  4. Step 4: Simplify right side
    899.76x = 630,064.55
  5. Step 5: Solve for x
    x = 630,064.55/899.76
  6. Step 6: Final answer
    x = 700.26

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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.