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Finding the Fourth Proportional to 1,035.83, 1,429.51 and 570.08

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Solution

The fourth proportional to 1,035.83, 1,429.51 and 570.08 is: 786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.83 : 1,429.51 = 570.08 : x
  2. Step 2: Convert to fraction form
    1,035.83/1,429.51 = 570.08/x
  3. Step 3: Cross multiply
    1,035.83x = 1,429.51 × 570.08
  4. Step 4: Simplify right side
    1,035.83x = 814,935.06
  5. Step 5: Solve for x
    x = 814,935.06/1,035.83
  6. Step 6: Final answer
    x = 786.75

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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.