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Finding the Fourth Proportional to 1,015.17, 1,400.87 and 573.06

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Solution

The fourth proportional to 1,015.17, 1,400.87 and 573.06 is: 790.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.17 : 1,400.87 = 573.06 : x
  2. Step 2: Convert to fraction form
    1,015.17/1,400.87 = 573.06/x
  3. Step 3: Cross multiply
    1,015.17x = 1,400.87 × 573.06
  4. Step 4: Simplify right side
    1,015.17x = 802,779.70
  5. Step 5: Solve for x
    x = 802,779.70/1,015.17
  6. Step 6: Final answer
    x = 790.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.