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Finding the Fourth Proportional to 738.60, 1,019.19 and 407.01

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Solution

The fourth proportional to 738.60, 1,019.19 and 407.01 is: 561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.60 : 1,019.19 = 407.01 : x
  2. Step 2: Convert to fraction form
    738.60/1,019.19 = 407.01/x
  3. Step 3: Cross multiply
    738.60x = 1,019.19 × 407.01
  4. Step 4: Simplify right side
    738.60x = 414,825.87
  5. Step 5: Solve for x
    x = 414,825.87/738.60
  6. Step 6: Final answer
    x = 561.64

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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.