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Finding the Fourth Proportional to 1,323.64, 1,985.52 and 458.02

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Solution

The fourth proportional to 1,323.64, 1,985.52 and 458.02 is: 687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.64 : 1,985.52 = 458.02 : x
  2. Step 2: Convert to fraction form
    1,323.64/1,985.52 = 458.02/x
  3. Step 3: Cross multiply
    1,323.64x = 1,985.52 × 458.02
  4. Step 4: Simplify right side
    1,323.64x = 909,407.87
  5. Step 5: Solve for x
    x = 909,407.87/1,323.64
  6. Step 6: Final answer
    x = 687.05

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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.