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Finding the Fourth Proportional to 1,061.60, 1,590.67 and 649.87

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Solution

The fourth proportional to 1,061.60, 1,590.67 and 649.87 is: 973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.60 : 1,590.67 = 649.87 : x
  2. Step 2: Convert to fraction form
    1,061.60/1,590.67 = 649.87/x
  3. Step 3: Cross multiply
    1,061.60x = 1,590.67 × 649.87
  4. Step 4: Simplify right side
    1,061.60x = 1,033,729.08
  5. Step 5: Solve for x
    x = 1,033,729.08/1,061.60
  6. Step 6: Final answer
    x = 973.75

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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.