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Finding the Fourth Proportional to 1,477.02, 2,038.29 and 813.87

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Solution

The fourth proportional to 1,477.02, 2,038.29 and 813.87 is: 1,123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.02 : 2,038.29 = 813.87 : x
  2. Step 2: Convert to fraction form
    1,477.02/2,038.29 = 813.87/x
  3. Step 3: Cross multiply
    1,477.02x = 2,038.29 × 813.87
  4. Step 4: Simplify right side
    1,477.02x = 1,658,903.08
  5. Step 5: Solve for x
    x = 1,658,903.08/1,477.02
  6. Step 6: Final answer
    x = 1,123.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.