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Finding the Fourth Proportional to 1,043.89, 1,438.89 and 707.68

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Solution

The fourth proportional to 1,043.89, 1,438.89 and 707.68 is: 975.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.89 : 1,438.89 = 707.68 : x
  2. Step 2: Convert to fraction form
    1,043.89/1,438.89 = 707.68/x
  3. Step 3: Cross multiply
    1,043.89x = 1,438.89 × 707.68
  4. Step 4: Simplify right side
    1,043.89x = 1,018,272.82
  5. Step 5: Solve for x
    x = 1,018,272.82/1,043.89
  6. Step 6: Final answer
    x = 975.46

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