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Finding the Fourth Proportional to 693.51, 1,038.41 and 572.31

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Solution

The fourth proportional to 693.51, 1,038.41 and 572.31 is: 856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.51 : 1,038.41 = 572.31 : x
  2. Step 2: Convert to fraction form
    693.51/1,038.41 = 572.31/x
  3. Step 3: Cross multiply
    693.51x = 1,038.41 × 572.31
  4. Step 4: Simplify right side
    693.51x = 594,292.43
  5. Step 5: Solve for x
    x = 594,292.43/693.51
  6. Step 6: Final answer
    x = 856.93

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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.