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Finding the Fourth Proportional to 1,570.19, 2,353.66 and 529.84

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Solution

The fourth proportional to 1,570.19, 2,353.66 and 529.84 is: 794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.19 : 2,353.66 = 529.84 : x
  2. Step 2: Convert to fraction form
    1,570.19/2,353.66 = 529.84/x
  3. Step 3: Cross multiply
    1,570.19x = 2,353.66 × 529.84
  4. Step 4: Simplify right side
    1,570.19x = 1,247,064.83
  5. Step 5: Solve for x
    x = 1,247,064.83/1,570.19
  6. Step 6: Final answer
    x = 794.22

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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.