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Finding the Fourth Proportional to 1,290.47, 1,935.86 and 469.13

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Solution

The fourth proportional to 1,290.47, 1,935.86 and 469.13 is: 703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.47 : 1,935.86 = 469.13 : x
  2. Step 2: Convert to fraction form
    1,290.47/1,935.86 = 469.13/x
  3. Step 3: Cross multiply
    1,290.47x = 1,935.86 × 469.13
  4. Step 4: Simplify right side
    1,290.47x = 908,170.00
  5. Step 5: Solve for x
    x = 908,170.00/1,290.47
  6. Step 6: Final answer
    x = 703.75

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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.