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Finding the Fourth Proportional to 1,036.04, 1,554.06 and 458.52

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Solution

The fourth proportional to 1,036.04, 1,554.06 and 458.52 is: 687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.04 : 1,554.06 = 458.52 : x
  2. Step 2: Convert to fraction form
    1,036.04/1,554.06 = 458.52/x
  3. Step 3: Cross multiply
    1,036.04x = 1,554.06 × 458.52
  4. Step 4: Simplify right side
    1,036.04x = 712,567.59
  5. Step 5: Solve for x
    x = 712,567.59/1,036.04
  6. Step 6: Final answer
    x = 687.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.