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Finding the Fourth Proportional to 1,130.66, 1,697.56 and 583.22

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Solution

The fourth proportional to 1,130.66, 1,697.56 and 583.22 is: 875.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.66 : 1,697.56 = 583.22 : x
  2. Step 2: Convert to fraction form
    1,130.66/1,697.56 = 583.22/x
  3. Step 3: Cross multiply
    1,130.66x = 1,697.56 × 583.22
  4. Step 4: Simplify right side
    1,130.66x = 990,050.94
  5. Step 5: Solve for x
    x = 990,050.94/1,130.66
  6. Step 6: Final answer
    x = 875.64

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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.