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Finding the Fourth Proportional to 1,053.80, 1,454.29 and 581.75

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Solution

The fourth proportional to 1,053.80, 1,454.29 and 581.75 is: 802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.80 : 1,454.29 = 581.75 : x
  2. Step 2: Convert to fraction form
    1,053.80/1,454.29 = 581.75/x
  3. Step 3: Cross multiply
    1,053.80x = 1,454.29 × 581.75
  4. Step 4: Simplify right side
    1,053.80x = 846,041.39
  5. Step 5: Solve for x
    x = 846,041.39/1,053.80
  6. Step 6: Final answer
    x = 802.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.