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Finding the Fourth Proportional to 1,069.14, 1,475.49 and 597.13

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Solution

The fourth proportional to 1,069.14, 1,475.49 and 597.13 is: 824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.14 : 1,475.49 = 597.13 : x
  2. Step 2: Convert to fraction form
    1,069.14/1,475.49 = 597.13/x
  3. Step 3: Cross multiply
    1,069.14x = 1,475.49 × 597.13
  4. Step 4: Simplify right side
    1,069.14x = 881,059.34
  5. Step 5: Solve for x
    x = 881,059.34/1,069.14
  6. Step 6: Final answer
    x = 824.08

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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.