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Finding the Fourth Proportional to 1,052.10, 1,577.95 and 358.71

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Solution

The fourth proportional to 1,052.10, 1,577.95 and 358.71 is: 538.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.10 : 1,577.95 = 358.71 : x
  2. Step 2: Convert to fraction form
    1,052.10/1,577.95 = 358.71/x
  3. Step 3: Cross multiply
    1,052.10x = 1,577.95 × 358.71
  4. Step 4: Simplify right side
    1,052.10x = 566,026.44
  5. Step 5: Solve for x
    x = 566,026.44/1,052.10
  6. Step 6: Final answer
    x = 538.00

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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.