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Finding the Fourth Proportional to 704.40, 972 and 652.15

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Solution

The fourth proportional to 704.40, 972 and 652.15 is: 899.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.40 : 972 = 652.15 : x
  2. Step 2: Convert to fraction form
    704.40/972 = 652.15/x
  3. Step 3: Cross multiply
    704.40x = 972 × 652.15
  4. Step 4: Simplify right side
    704.40x = 633,891.02
  5. Step 5: Solve for x
    x = 633,891.02/704.40
  6. Step 6: Final answer
    x = 899.91

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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.