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Finding the Fourth Proportional to 741.46, 1,113.45 and 710.50

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Solution

The fourth proportional to 741.46, 1,113.45 and 710.50 is: 1,066.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.46 : 1,113.45 = 710.50 : x
  2. Step 2: Convert to fraction form
    741.46/1,113.45 = 710.50/x
  3. Step 3: Cross multiply
    741.46x = 1,113.45 × 710.50
  4. Step 4: Simplify right side
    741.46x = 791,106.23
  5. Step 5: Solve for x
    x = 791,106.23/741.46
  6. Step 6: Final answer
    x = 1,066.96

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Why These Related Problems?

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