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Finding the Fourth Proportional to 1,030.02, 1,544.76 and 299.40

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Solution

The fourth proportional to 1,030.02, 1,544.76 and 299.40 is: 449.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.02 : 1,544.76 = 299.40 : x
  2. Step 2: Convert to fraction form
    1,030.02/1,544.76 = 299.40/x
  3. Step 3: Cross multiply
    1,030.02x = 1,544.76 × 299.40
  4. Step 4: Simplify right side
    1,030.02x = 462,501.14
  5. Step 5: Solve for x
    x = 462,501.14/1,030.02
  6. Step 6: Final answer
    x = 449.02

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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.