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Finding the Fourth Proportional to 1,574.12, 2,360.36 and 586.53

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Solution

The fourth proportional to 1,574.12, 2,360.36 and 586.53 is: 879.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.12 : 2,360.36 = 586.53 : x
  2. Step 2: Convert to fraction form
    1,574.12/2,360.36 = 586.53/x
  3. Step 3: Cross multiply
    1,574.12x = 2,360.36 × 586.53
  4. Step 4: Simplify right side
    1,574.12x = 1,384,419.02
  5. Step 5: Solve for x
    x = 1,384,419.02/1,574.12
  6. Step 6: Final answer
    x = 879.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.