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Finding the Fourth Proportional to 740.56, 1,109.08 and 714.64

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Solution

The fourth proportional to 740.56, 1,109.08 and 714.64 is: 1,070.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.56 : 1,109.08 = 714.64 : x
  2. Step 2: Convert to fraction form
    740.56/1,109.08 = 714.64/x
  3. Step 3: Cross multiply
    740.56x = 1,109.08 × 714.64
  4. Step 4: Simplify right side
    740.56x = 792,592.93
  5. Step 5: Solve for x
    x = 792,592.93/740.56
  6. Step 6: Final answer
    x = 1,070.26

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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.