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Finding the Fourth Proportional to 1,020.53, 1,530.32 and 712.73

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Solution

The fourth proportional to 1,020.53, 1,530.32 and 712.73 is: 1,068.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.53 : 1,530.32 = 712.73 : x
  2. Step 2: Convert to fraction form
    1,020.53/1,530.32 = 712.73/x
  3. Step 3: Cross multiply
    1,020.53x = 1,530.32 × 712.73
  4. Step 4: Simplify right side
    1,020.53x = 1,090,701.41
  5. Step 5: Solve for x
    x = 1,090,701.41/1,020.53
  6. Step 6: Final answer
    x = 1,068.76

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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.