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Finding the Fourth Proportional to 1,575.39, 2,364.35 and 709.77

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Solution

The fourth proportional to 1,575.39, 2,364.35 and 709.77 is: 1,065.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.39 : 2,364.35 = 709.77 : x
  2. Step 2: Convert to fraction form
    1,575.39/2,364.35 = 709.77/x
  3. Step 3: Cross multiply
    1,575.39x = 2,364.35 × 709.77
  4. Step 4: Simplify right side
    1,575.39x = 1,678,141.15
  5. Step 5: Solve for x
    x = 1,678,141.15/1,575.39
  6. Step 6: Final answer
    x = 1,065.22

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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.