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Finding the Fourth Proportional to 1,069.55, 1,475.63 and 597.37

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Solution

The fourth proportional to 1,069.55, 1,475.63 and 597.37 is: 824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.55 : 1,475.63 = 597.37 : x
  2. Step 2: Convert to fraction form
    1,069.55/1,475.63 = 597.37/x
  3. Step 3: Cross multiply
    1,069.55x = 1,475.63 × 597.37
  4. Step 4: Simplify right side
    1,069.55x = 881,489.71
  5. Step 5: Solve for x
    x = 881,489.71/1,069.55
  6. Step 6: Final answer
    x = 824.17

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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.