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Finding the Fourth Proportional to 1,053.69, 1,580.45 and 468.71

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Solution

The fourth proportional to 1,053.69, 1,580.45 and 468.71 is: 703.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.69 : 1,580.45 = 468.71 : x
  2. Step 2: Convert to fraction form
    1,053.69/1,580.45 = 468.71/x
  3. Step 3: Cross multiply
    1,053.69x = 1,580.45 × 468.71
  4. Step 4: Simplify right side
    1,053.69x = 740,772.32
  5. Step 5: Solve for x
    x = 740,772.32/1,053.69
  6. Step 6: Final answer
    x = 703.03

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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.