Home / 1,323.53-1,985.26-457.91

Finding the Fourth Proportional to 1,323.53, 1,985.26 and 457.91

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Solution

The fourth proportional to 1,323.53, 1,985.26 and 457.91 is: 686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.53 : 1,985.26 = 457.91 : x
  2. Step 2: Convert to fraction form
    1,323.53/1,985.26 = 457.91/x
  3. Step 3: Cross multiply
    1,323.53x = 1,985.26 × 457.91
  4. Step 4: Simplify right side
    1,323.53x = 909,070.41
  5. Step 5: Solve for x
    x = 909,070.41/1,323.53
  6. Step 6: Final answer
    x = 686.85

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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.