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Finding the Fourth Proportional to 1,069.29, 1,475.64 and 597.18

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Solution

The fourth proportional to 1,069.29, 1,475.64 and 597.18 is: 824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.29 : 1,475.64 = 597.18 : x
  2. Step 2: Convert to fraction form
    1,069.29/1,475.64 = 597.18/x
  3. Step 3: Cross multiply
    1,069.29x = 1,475.64 × 597.18
  4. Step 4: Simplify right side
    1,069.29x = 881,222.70
  5. Step 5: Solve for x
    x = 881,222.70/1,069.29
  6. Step 6: Final answer
    x = 824.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.