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Finding the Fourth Proportional to 1,532.93, 2,297.80 and 710.53

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Solution

The fourth proportional to 1,532.93, 2,297.80 and 710.53 is: 1,065.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.93 : 2,297.80 = 710.53 : x
  2. Step 2: Convert to fraction form
    1,532.93/2,297.80 = 710.53/x
  3. Step 3: Cross multiply
    1,532.93x = 2,297.80 × 710.53
  4. Step 4: Simplify right side
    1,532.93x = 1,632,641.68
  5. Step 5: Solve for x
    x = 1,632,641.68/1,532.93
  6. Step 6: Final answer
    x = 1,065.05

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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.