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Finding the Fourth Proportional to 1,053.63, 1,580.48 and 468.51

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Solution

The fourth proportional to 1,053.63, 1,580.48 and 468.51 is: 702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.63 : 1,580.48 = 468.51 : x
  2. Step 2: Convert to fraction form
    1,053.63/1,580.48 = 468.51/x
  3. Step 3: Cross multiply
    1,053.63x = 1,580.48 × 468.51
  4. Step 4: Simplify right side
    1,053.63x = 740,468.34
  5. Step 5: Solve for x
    x = 740,468.34/1,053.63
  6. Step 6: Final answer
    x = 702.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.