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Finding the Fourth Proportional to 1,510.04, 2,266.32 and 586.28

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Solution

The fourth proportional to 1,510.04, 2,266.32 and 586.28 is: 879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.04 : 2,266.32 = 586.28 : x
  2. Step 2: Convert to fraction form
    1,510.04/2,266.32 = 586.28/x
  3. Step 3: Cross multiply
    1,510.04x = 2,266.32 × 586.28
  4. Step 4: Simplify right side
    1,510.04x = 1,328,698.09
  5. Step 5: Solve for x
    x = 1,328,698.09/1,510.04
  6. Step 6: Final answer
    x = 879.91

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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.