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Finding the Fourth Proportional to 710.32, 980.36 and 545.08

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Solution

The fourth proportional to 710.32, 980.36 and 545.08 is: 752.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.32 : 980.36 = 545.08 : x
  2. Step 2: Convert to fraction form
    710.32/980.36 = 545.08/x
  3. Step 3: Cross multiply
    710.32x = 980.36 × 545.08
  4. Step 4: Simplify right side
    710.32x = 534,374.63
  5. Step 5: Solve for x
    x = 534,374.63/710.32
  6. Step 6: Final answer
    x = 752.30

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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.