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Finding the Fourth Proportional to 1,050.71, 1,575.68 and 434.30

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Solution

The fourth proportional to 1,050.71, 1,575.68 and 434.30 is: 651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.71 : 1,575.68 = 434.30 : x
  2. Step 2: Convert to fraction form
    1,050.71/1,575.68 = 434.30/x
  3. Step 3: Cross multiply
    1,050.71x = 1,575.68 × 434.30
  4. Step 4: Simplify right side
    1,050.71x = 684,307.77
  5. Step 5: Solve for x
    x = 684,307.77/1,050.71
  6. Step 6: Final answer
    x = 651.28

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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.