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Finding the Fourth Proportional to 1,057.60, 1,458.96 and 708.48

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Solution

The fourth proportional to 1,057.60, 1,458.96 and 708.48 is: 977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.60 : 1,458.96 = 708.48 : x
  2. Step 2: Convert to fraction form
    1,057.60/1,458.96 = 708.48/x
  3. Step 3: Cross multiply
    1,057.60x = 1,458.96 × 708.48
  4. Step 4: Simplify right side
    1,057.60x = 1,033,643.98
  5. Step 5: Solve for x
    x = 1,033,643.98/1,057.60
  6. Step 6: Final answer
    x = 977.35

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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.