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Finding the Fourth Proportional to 709.56, 1,058.54 and 690.47

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Solution

The fourth proportional to 709.56, 1,058.54 and 690.47 is: 1,030.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.56 : 1,058.54 = 690.47 : x
  2. Step 2: Convert to fraction form
    709.56/1,058.54 = 690.47/x
  3. Step 3: Cross multiply
    709.56x = 1,058.54 × 690.47
  4. Step 4: Simplify right side
    709.56x = 730,881.37
  5. Step 5: Solve for x
    x = 730,881.37/709.56
  6. Step 6: Final answer
    x = 1,030.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.