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Finding the Fourth Proportional to 1,035.91, 1,429.64 and 570.19

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Solution

The fourth proportional to 1,035.91, 1,429.64 and 570.19 is: 786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.91 : 1,429.64 = 570.19 : x
  2. Step 2: Convert to fraction form
    1,035.91/1,429.64 = 570.19/x
  3. Step 3: Cross multiply
    1,035.91x = 1,429.64 × 570.19
  4. Step 4: Simplify right side
    1,035.91x = 815,166.43
  5. Step 5: Solve for x
    x = 815,166.43/1,035.91
  6. Step 6: Final answer
    x = 786.91

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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.