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Finding the Fourth Proportional to 1,036.46, 1,430.25 and 570.71

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Solution

The fourth proportional to 1,036.46, 1,430.25 and 570.71 is: 787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.46 : 1,430.25 = 570.71 : x
  2. Step 2: Convert to fraction form
    1,036.46/1,430.25 = 570.71/x
  3. Step 3: Cross multiply
    1,036.46x = 1,430.25 × 570.71
  4. Step 4: Simplify right side
    1,036.46x = 816,257.98
  5. Step 5: Solve for x
    x = 816,257.98/1,036.46
  6. Step 6: Final answer
    x = 787.54

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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.