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Finding the Fourth Proportional to 1,036.08, 1,429.84 and 570.34

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Solution

The fourth proportional to 1,036.08, 1,429.84 and 570.34 is: 787.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.08 : 1,429.84 = 570.34 : x
  2. Step 2: Convert to fraction form
    1,036.08/1,429.84 = 570.34/x
  3. Step 3: Cross multiply
    1,036.08x = 1,429.84 × 570.34
  4. Step 4: Simplify right side
    1,036.08x = 815,494.95
  5. Step 5: Solve for x
    x = 815,494.95/1,036.08
  6. Step 6: Final answer
    x = 787.10

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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.