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Finding the Fourth Proportional to 1,323.63, 1,985.63 and 458.01

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Solution

The fourth proportional to 1,323.63, 1,985.63 and 458.01 is: 687.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.63 : 1,985.63 = 458.01 : x
  2. Step 2: Convert to fraction form
    1,323.63/1,985.63 = 458.01/x
  3. Step 3: Cross multiply
    1,323.63x = 1,985.63 × 458.01
  4. Step 4: Simplify right side
    1,323.63x = 909,436.11
  5. Step 5: Solve for x
    x = 909,436.11/1,323.63
  6. Step 6: Final answer
    x = 687.08

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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.