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Finding the Fourth Proportional to 1,053.60, 1,580.28 and 437.40

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Solution

The fourth proportional to 1,053.60, 1,580.28 and 437.40 is: 656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.60 : 1,580.28 = 437.40 : x
  2. Step 2: Convert to fraction form
    1,053.60/1,580.28 = 437.40/x
  3. Step 3: Cross multiply
    1,053.60x = 1,580.28 × 437.40
  4. Step 4: Simplify right side
    1,053.60x = 691,214.47
  5. Step 5: Solve for x
    x = 691,214.47/1,053.60
  6. Step 6: Final answer
    x = 656.05

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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.