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Finding the Fourth Proportional to 1,053.67, 1,580.56 and 468.53

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Solution

The fourth proportional to 1,053.67, 1,580.56 and 468.53 is: 702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.67 : 1,580.56 = 468.53 : x
  2. Step 2: Convert to fraction form
    1,053.67/1,580.56 = 468.53/x
  3. Step 3: Cross multiply
    1,053.67x = 1,580.56 × 468.53
  4. Step 4: Simplify right side
    1,053.67x = 740,537.43
  5. Step 5: Solve for x
    x = 740,537.43/1,053.67
  6. Step 6: Final answer
    x = 702.82

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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.