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Finding the Fourth Proportional to 738.66, 1,019.37 and 407.10

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Solution

The fourth proportional to 738.66, 1,019.37 and 407.10 is: 561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.66 : 1,019.37 = 407.10 : x
  2. Step 2: Convert to fraction form
    738.66/1,019.37 = 407.10/x
  3. Step 3: Cross multiply
    738.66x = 1,019.37 × 407.10
  4. Step 4: Simplify right side
    738.66x = 414,985.53
  5. Step 5: Solve for x
    x = 414,985.53/738.66
  6. Step 6: Final answer
    x = 561.81

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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.