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Finding the Fourth Proportional to 1,007.74, 1,510.86 and 575.20

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Solution

The fourth proportional to 1,007.74, 1,510.86 and 575.20 is: 862.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.74 : 1,510.86 = 575.20 : x
  2. Step 2: Convert to fraction form
    1,007.74/1,510.86 = 575.20/x
  3. Step 3: Cross multiply
    1,007.74x = 1,510.86 × 575.20
  4. Step 4: Simplify right side
    1,007.74x = 869,039.12
  5. Step 5: Solve for x
    x = 869,039.12/1,007.74
  6. Step 6: Final answer
    x = 862.37

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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.