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Finding the Fourth Proportional to 1,429.68, 1,973.03 and 870.05

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Solution

The fourth proportional to 1,429.68, 1,973.03 and 870.05 is: 1,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.68 : 1,973.03 = 870.05 : x
  2. Step 2: Convert to fraction form
    1,429.68/1,973.03 = 870.05/x
  3. Step 3: Cross multiply
    1,429.68x = 1,973.03 × 870.05
  4. Step 4: Simplify right side
    1,429.68x = 1,716,634.75
  5. Step 5: Solve for x
    x = 1,716,634.75/1,429.68
  6. Step 6: Final answer
    x = 1,200.71

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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.