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Finding the Fourth Proportional to 753.23, 1,039.47 and 417.14

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Solution

The fourth proportional to 753.23, 1,039.47 and 417.14 is: 575.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.23 : 1,039.47 = 417.14 : x
  2. Step 2: Convert to fraction form
    753.23/1,039.47 = 417.14/x
  3. Step 3: Cross multiply
    753.23x = 1,039.47 × 417.14
  4. Step 4: Simplify right side
    753.23x = 433,607.11
  5. Step 5: Solve for x
    x = 433,607.11/753.23
  6. Step 6: Final answer
    x = 575.66

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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.