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Finding the Fourth Proportional to 1,531.34, 2,298.52 and 709.79

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Solution

The fourth proportional to 1,531.34, 2,298.52 and 709.79 is: 1,065.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.34 : 2,298.52 = 709.79 : x
  2. Step 2: Convert to fraction form
    1,531.34/2,298.52 = 709.79/x
  3. Step 3: Cross multiply
    1,531.34x = 2,298.52 × 709.79
  4. Step 4: Simplify right side
    1,531.34x = 1,631,466.51
  5. Step 5: Solve for x
    x = 1,631,466.51/1,531.34
  6. Step 6: Final answer
    x = 1,065.38

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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.