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Finding the Fourth Proportional to 1,047.69, 1,572.03 and 500.04

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Solution

The fourth proportional to 1,047.69, 1,572.03 and 500.04 is: 750.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.69 : 1,572.03 = 500.04 : x
  2. Step 2: Convert to fraction form
    1,047.69/1,572.03 = 500.04/x
  3. Step 3: Cross multiply
    1,047.69x = 1,572.03 × 500.04
  4. Step 4: Simplify right side
    1,047.69x = 786,077.88
  5. Step 5: Solve for x
    x = 786,077.88/1,047.69
  6. Step 6: Final answer
    x = 750.30

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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.