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Finding the Fourth Proportional to 1,323.64, 1,985.52 and 501.98

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Solution

The fourth proportional to 1,323.64, 1,985.52 and 501.98 is: 752.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.64 : 1,985.52 = 501.98 : x
  2. Step 2: Convert to fraction form
    1,323.64/1,985.52 = 501.98/x
  3. Step 3: Cross multiply
    1,323.64x = 1,985.52 × 501.98
  4. Step 4: Simplify right side
    1,323.64x = 996,681.40
  5. Step 5: Solve for x
    x = 996,681.40/1,323.64
  6. Step 6: Final answer
    x = 752.99

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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.