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Finding the Fourth Proportional to 1,020.93, 1,409.01 and 572.97

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Solution

The fourth proportional to 1,020.93, 1,409.01 and 572.97 is: 790.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.93 : 1,409.01 = 572.97 : x
  2. Step 2: Convert to fraction form
    1,020.93/1,409.01 = 572.97/x
  3. Step 3: Cross multiply
    1,020.93x = 1,409.01 × 572.97
  4. Step 4: Simplify right side
    1,020.93x = 807,320.46
  5. Step 5: Solve for x
    x = 807,320.46/1,020.93
  6. Step 6: Final answer
    x = 790.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.