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Finding the Fourth Proportional to 1,323.50, 1,985.82 and 707.03

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Solution

The fourth proportional to 1,323.50, 1,985.82 and 707.03 is: 1,060.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.50 : 1,985.82 = 707.03 : x
  2. Step 2: Convert to fraction form
    1,323.50/1,985.82 = 707.03/x
  3. Step 3: Cross multiply
    1,323.50x = 1,985.82 × 707.03
  4. Step 4: Simplify right side
    1,323.50x = 1,404,034.31
  5. Step 5: Solve for x
    x = 1,404,034.31/1,323.50
  6. Step 6: Final answer
    x = 1,060.85

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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.