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Finding the Fourth Proportional to 1,560.51, 2,339.33 and 585.95

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Solution

The fourth proportional to 1,560.51, 2,339.33 and 585.95 is: 878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.51 : 2,339.33 = 585.95 : x
  2. Step 2: Convert to fraction form
    1,560.51/2,339.33 = 585.95/x
  3. Step 3: Cross multiply
    1,560.51x = 2,339.33 × 585.95
  4. Step 4: Simplify right side
    1,560.51x = 1,370,715.79
  5. Step 5: Solve for x
    x = 1,370,715.79/1,560.51
  6. Step 6: Final answer
    x = 878.38

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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.