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Finding the Fourth Proportional to 1,036.24, 1,430.01 and 570.49

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Solution

The fourth proportional to 1,036.24, 1,430.01 and 570.49 is: 787.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.24 : 1,430.01 = 570.49 : x
  2. Step 2: Convert to fraction form
    1,036.24/1,430.01 = 570.49/x
  3. Step 3: Cross multiply
    1,036.24x = 1,430.01 × 570.49
  4. Step 4: Simplify right side
    1,036.24x = 815,797.83
  5. Step 5: Solve for x
    x = 815,797.83/1,036.24
  6. Step 6: Final answer
    x = 787.27

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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.