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Finding the Fourth Proportional to 1,060.75, 1,590.71 and 573.53

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Solution

The fourth proportional to 1,060.75, 1,590.71 and 573.53 is: 860.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.75 : 1,590.71 = 573.53 : x
  2. Step 2: Convert to fraction form
    1,060.75/1,590.71 = 573.53/x
  3. Step 3: Cross multiply
    1,060.75x = 1,590.71 × 573.53
  4. Step 4: Simplify right side
    1,060.75x = 912,322.87
  5. Step 5: Solve for x
    x = 912,322.87/1,060.75
  6. Step 6: Final answer
    x = 860.08

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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.