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Finding the Fourth Proportional to 1,290.52, 1,935.87 and 366.07

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Solution

The fourth proportional to 1,290.52, 1,935.87 and 366.07 is: 549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.52 : 1,935.87 = 366.07 : x
  2. Step 2: Convert to fraction form
    1,290.52/1,935.87 = 366.07/x
  3. Step 3: Cross multiply
    1,290.52x = 1,935.87 × 366.07
  4. Step 4: Simplify right side
    1,290.52x = 708,663.93
  5. Step 5: Solve for x
    x = 708,663.93/1,290.52
  6. Step 6: Final answer
    x = 549.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.