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Finding the Fourth Proportional to 1,036.13, 1,554.80 and 459.01

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Solution

The fourth proportional to 1,036.13, 1,554.80 and 459.01 is: 688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.13 : 1,554.80 = 459.01 : x
  2. Step 2: Convert to fraction form
    1,036.13/1,554.80 = 459.01/x
  3. Step 3: Cross multiply
    1,036.13x = 1,554.80 × 459.01
  4. Step 4: Simplify right side
    1,036.13x = 713,659.83
  5. Step 5: Solve for x
    x = 713,659.83/1,036.13
  6. Step 6: Final answer
    x = 688.78

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Why These Related Problems?

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