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Finding the Fourth Proportional to 1,048.40, 1,572.36 and 470.72

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Solution

The fourth proportional to 1,048.40, 1,572.36 and 470.72 is: 705.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.40 : 1,572.36 = 470.72 : x
  2. Step 2: Convert to fraction form
    1,048.40/1,572.36 = 470.72/x
  3. Step 3: Cross multiply
    1,048.40x = 1,572.36 × 470.72
  4. Step 4: Simplify right side
    1,048.40x = 740,141.30
  5. Step 5: Solve for x
    x = 740,141.30/1,048.40
  6. Step 6: Final answer
    x = 705.97

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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.