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Finding the Fourth Proportional to 1,047.80, 1,572.15 and 534.80

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Solution

The fourth proportional to 1,047.80, 1,572.15 and 534.80 is: 802.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.80 : 1,572.15 = 534.80 : x
  2. Step 2: Convert to fraction form
    1,047.80/1,572.15 = 534.80/x
  3. Step 3: Cross multiply
    1,047.80x = 1,572.15 × 534.80
  4. Step 4: Simplify right side
    1,047.80x = 840,785.82
  5. Step 5: Solve for x
    x = 840,785.82/1,047.80
  6. Step 6: Final answer
    x = 802.43

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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.