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Finding the Fourth Proportional to 713.66, 1,070.55 and 302.81

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Solution

The fourth proportional to 713.66, 1,070.55 and 302.81 is: 454.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.66 : 1,070.55 = 302.81 : x
  2. Step 2: Convert to fraction form
    713.66/1,070.55 = 302.81/x
  3. Step 3: Cross multiply
    713.66x = 1,070.55 × 302.81
  4. Step 4: Simplify right side
    713.66x = 324,167.89
  5. Step 5: Solve for x
    x = 324,167.89/713.66
  6. Step 6: Final answer
    x = 454.24

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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.