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Finding the Fourth Proportional to 1,510.07, 2,264.39 and 586.06

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Solution

The fourth proportional to 1,510.07, 2,264.39 and 586.06 is: 878.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.07 : 2,264.39 = 586.06 : x
  2. Step 2: Convert to fraction form
    1,510.07/2,264.39 = 586.06/x
  3. Step 3: Cross multiply
    1,510.07x = 2,264.39 × 586.06
  4. Step 4: Simplify right side
    1,510.07x = 1,327,068.40
  5. Step 5: Solve for x
    x = 1,327,068.40/1,510.07
  6. Step 6: Final answer
    x = 878.81

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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.