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Finding the Fourth Proportional to 1,058.56, 1,459.84 and 708.64

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Solution

The fourth proportional to 1,058.56, 1,459.84 and 708.64 is: 977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.56 : 1,459.84 = 708.64 : x
  2. Step 2: Convert to fraction form
    1,058.56/1,459.84 = 708.64/x
  3. Step 3: Cross multiply
    1,058.56x = 1,459.84 × 708.64
  4. Step 4: Simplify right side
    1,058.56x = 1,034,501.02
  5. Step 5: Solve for x
    x = 1,034,501.02/1,058.56
  6. Step 6: Final answer
    x = 977.27

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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.