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Finding the Fourth Proportional to 1,554.90, 2,332.05 and 459.02

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Solution

The fourth proportional to 1,554.90, 2,332.05 and 459.02 is: 688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.90 : 2,332.05 = 459.02 : x
  2. Step 2: Convert to fraction form
    1,554.90/2,332.05 = 459.02/x
  3. Step 3: Cross multiply
    1,554.90x = 2,332.05 × 459.02
  4. Step 4: Simplify right side
    1,554.90x = 1,070,457.59
  5. Step 5: Solve for x
    x = 1,070,457.59/1,554.90
  6. Step 6: Final answer
    x = 688.44

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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.