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Finding the Fourth Proportional to 1,510.75, 2,267.25 and 586.45

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Solution

The fourth proportional to 1,510.75, 2,267.25 and 586.45 is: 880.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.75 : 2,267.25 = 586.45 : x
  2. Step 2: Convert to fraction form
    1,510.75/2,267.25 = 586.45/x
  3. Step 3: Cross multiply
    1,510.75x = 2,267.25 × 586.45
  4. Step 4: Simplify right side
    1,510.75x = 1,329,628.76
  5. Step 5: Solve for x
    x = 1,329,628.76/1,510.75
  6. Step 6: Final answer
    x = 880.11

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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.