Home / 1,323.61-1,985.96-458.53

Finding the Fourth Proportional to 1,323.61, 1,985.96 and 458.53

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Solution

The fourth proportional to 1,323.61, 1,985.96 and 458.53 is: 687.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.61 : 1,985.96 = 458.53 : x
  2. Step 2: Convert to fraction form
    1,323.61/1,985.96 = 458.53/x
  3. Step 3: Cross multiply
    1,323.61x = 1,985.96 × 458.53
  4. Step 4: Simplify right side
    1,323.61x = 910,622.24
  5. Step 5: Solve for x
    x = 910,622.24/1,323.61
  6. Step 6: Final answer
    x = 687.98

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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.