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Finding the Fourth Proportional to 1,036.30, 1,430.25 and 787.21

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Solution

The fourth proportional to 1,036.30, 1,430.25 and 787.21 is: 1,086.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.30 : 1,430.25 = 787.21 : x
  2. Step 2: Convert to fraction form
    1,036.30/1,430.25 = 787.21/x
  3. Step 3: Cross multiply
    1,036.30x = 1,430.25 × 787.21
  4. Step 4: Simplify right side
    1,036.30x = 1,125,907.10
  5. Step 5: Solve for x
    x = 1,125,907.10/1,036.30
  6. Step 6: Final answer
    x = 1,086.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.