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Finding the Fourth Proportional to 1,036.52, 1,430.34 and 570.77

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Solution

The fourth proportional to 1,036.52, 1,430.34 and 570.77 is: 787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.52 : 1,430.34 = 570.77 : x
  2. Step 2: Convert to fraction form
    1,036.52/1,430.34 = 570.77/x
  3. Step 3: Cross multiply
    1,036.52x = 1,430.34 × 570.77
  4. Step 4: Simplify right side
    1,036.52x = 816,396.60
  5. Step 5: Solve for x
    x = 816,396.60/1,036.52
  6. Step 6: Final answer
    x = 787.63

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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.