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Finding the Fourth Proportional to 1,570.71, 2,354.23 and 645.13

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Solution

The fourth proportional to 1,570.71, 2,354.23 and 645.13 is: 966.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.71 : 2,354.23 = 645.13 : x
  2. Step 2: Convert to fraction form
    1,570.71/2,354.23 = 645.13/x
  3. Step 3: Cross multiply
    1,570.71x = 2,354.23 × 645.13
  4. Step 4: Simplify right side
    1,570.71x = 1,518,779.58
  5. Step 5: Solve for x
    x = 1,518,779.58/1,570.71
  6. Step 6: Final answer
    x = 966.94

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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.