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Finding the Fourth Proportional to 1,323.46, 1,985.58 and 457.84

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Solution

The fourth proportional to 1,323.46, 1,985.58 and 457.84 is: 686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.46 : 1,985.58 = 457.84 : x
  2. Step 2: Convert to fraction form
    1,323.46/1,985.58 = 457.84/x
  3. Step 3: Cross multiply
    1,323.46x = 1,985.58 × 457.84
  4. Step 4: Simplify right side
    1,323.46x = 909,077.95
  5. Step 5: Solve for x
    x = 909,077.95/1,323.46
  6. Step 6: Final answer
    x = 686.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.