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Finding the Fourth Proportional to 1,069.48, 1,475.87 and 597.39

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Solution

The fourth proportional to 1,069.48, 1,475.87 and 597.39 is: 824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.48 : 1,475.87 = 597.39 : x
  2. Step 2: Convert to fraction form
    1,069.48/1,475.87 = 597.39/x
  3. Step 3: Cross multiply
    1,069.48x = 1,475.87 × 597.39
  4. Step 4: Simplify right side
    1,069.48x = 881,664.41
  5. Step 5: Solve for x
    x = 881,664.41/1,069.48
  6. Step 6: Final answer
    x = 824.38

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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.