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Finding the Fourth Proportional to 1,130.23, 1,695.86 and 582.13

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Solution

The fourth proportional to 1,130.23, 1,695.86 and 582.13 is: 873.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.23 : 1,695.86 = 582.13 : x
  2. Step 2: Convert to fraction form
    1,130.23/1,695.86 = 582.13/x
  3. Step 3: Cross multiply
    1,130.23x = 1,695.86 × 582.13
  4. Step 4: Simplify right side
    1,130.23x = 987,210.98
  5. Step 5: Solve for x
    x = 987,210.98/1,130.23
  6. Step 6: Final answer
    x = 873.46

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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.