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Finding the Fourth Proportional to 1,260.16, 1,888.14 and 437.98

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Solution

The fourth proportional to 1,260.16, 1,888.14 and 437.98 is: 656.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.16 : 1,888.14 = 437.98 : x
  2. Step 2: Convert to fraction form
    1,260.16/1,888.14 = 437.98/x
  3. Step 3: Cross multiply
    1,260.16x = 1,888.14 × 437.98
  4. Step 4: Simplify right side
    1,260.16x = 826,967.56
  5. Step 5: Solve for x
    x = 826,967.56/1,260.16
  6. Step 6: Final answer
    x = 656.24

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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.