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Finding the Fourth Proportional to 1,292.51, 1,783.65 and 732.98

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Solution

The fourth proportional to 1,292.51, 1,783.65 and 732.98 is: 1,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.51 : 1,783.65 = 732.98 : x
  2. Step 2: Convert to fraction form
    1,292.51/1,783.65 = 732.98/x
  3. Step 3: Cross multiply
    1,292.51x = 1,783.65 × 732.98
  4. Step 4: Simplify right side
    1,292.51x = 1,307,379.78
  5. Step 5: Solve for x
    x = 1,307,379.78/1,292.51
  6. Step 6: Final answer
    x = 1,011.50

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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.