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Finding the Fourth Proportional to 1,417.55, 2,125.53 and 493.02

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Solution

The fourth proportional to 1,417.55, 2,125.53 and 493.02 is: 739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.55 : 2,125.53 = 493.02 : x
  2. Step 2: Convert to fraction form
    1,417.55/2,125.53 = 493.02/x
  3. Step 3: Cross multiply
    1,417.55x = 2,125.53 × 493.02
  4. Step 4: Simplify right side
    1,417.55x = 1,047,928.80
  5. Step 5: Solve for x
    x = 1,047,928.80/1,417.55
  6. Step 6: Final answer
    x = 739.25

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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.