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Finding the Fourth Proportional to 1,026.83, 1,533.69 and 929.18

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Solution

The fourth proportional to 1,026.83, 1,533.69 and 929.18 is: 1,387.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.83 : 1,533.69 = 929.18 : x
  2. Step 2: Convert to fraction form
    1,026.83/1,533.69 = 929.18/x
  3. Step 3: Cross multiply
    1,026.83x = 1,533.69 × 929.18
  4. Step 4: Simplify right side
    1,026.83x = 1,425,074.07
  5. Step 5: Solve for x
    x = 1,425,074.07/1,026.83
  6. Step 6: Final answer
    x = 1,387.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.