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Finding the Fourth Proportional to 1,442.05, 2,159.81 and 710.02

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Solution

The fourth proportional to 1,442.05, 2,159.81 and 710.02 is: 1,063.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.05 : 2,159.81 = 710.02 : x
  2. Step 2: Convert to fraction form
    1,442.05/2,159.81 = 710.02/x
  3. Step 3: Cross multiply
    1,442.05x = 2,159.81 × 710.02
  4. Step 4: Simplify right side
    1,442.05x = 1,533,501.95
  5. Step 5: Solve for x
    x = 1,533,501.95/1,442.05
  6. Step 6: Final answer
    x = 1,063.42

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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.