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Finding the Fourth Proportional to 1,036.54, 1,430.42 and 570.79

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Solution

The fourth proportional to 1,036.54, 1,430.42 and 570.79 is: 787.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.54 : 1,430.42 = 570.79 : x
  2. Step 2: Convert to fraction form
    1,036.54/1,430.42 = 570.79/x
  3. Step 3: Cross multiply
    1,036.54x = 1,430.42 × 570.79
  4. Step 4: Simplify right side
    1,036.54x = 816,459.43
  5. Step 5: Solve for x
    x = 816,459.43/1,036.54
  6. Step 6: Final answer
    x = 787.68

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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.