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Finding the Fourth Proportional to 1,061.08, 1,590.63 and 574.18

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Solution

The fourth proportional to 1,061.08, 1,590.63 and 574.18 is: 860.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.08 : 1,590.63 = 574.18 : x
  2. Step 2: Convert to fraction form
    1,061.08/1,590.63 = 574.18/x
  3. Step 3: Cross multiply
    1,061.08x = 1,590.63 × 574.18
  4. Step 4: Simplify right side
    1,061.08x = 913,307.93
  5. Step 5: Solve for x
    x = 913,307.93/1,061.08
  6. Step 6: Final answer
    x = 860.73

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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.