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Finding the Fourth Proportional to 1,530.49, 2,295.63 and 709.42

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Solution

The fourth proportional to 1,530.49, 2,295.63 and 709.42 is: 1,064.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.49 : 2,295.63 = 709.42 : x
  2. Step 2: Convert to fraction form
    1,530.49/2,295.63 = 709.42/x
  3. Step 3: Cross multiply
    1,530.49x = 2,295.63 × 709.42
  4. Step 4: Simplify right side
    1,530.49x = 1,628,565.83
  5. Step 5: Solve for x
    x = 1,628,565.83/1,530.49
  6. Step 6: Final answer
    x = 1,064.08

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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.