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Finding the Fourth Proportional to 830.16, 1,245.24 and 707.64

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Solution

The fourth proportional to 830.16, 1,245.24 and 707.64 is: 1,061.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.16 : 1,245.24 = 707.64 : x
  2. Step 2: Convert to fraction form
    830.16/1,245.24 = 707.64/x
  3. Step 3: Cross multiply
    830.16x = 1,245.24 × 707.64
  4. Step 4: Simplify right side
    830.16x = 881,181.63
  5. Step 5: Solve for x
    x = 881,181.63/830.16
  6. Step 6: Final answer
    x = 1,061.46

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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.