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Finding the Fourth Proportional to 865.60, 1,298.40 and 501.10

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Solution

The fourth proportional to 865.60, 1,298.40 and 501.10 is: 751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.60 : 1,298.40 = 501.10 : x
  2. Step 2: Convert to fraction form
    865.60/1,298.40 = 501.10/x
  3. Step 3: Cross multiply
    865.60x = 1,298.40 × 501.10
  4. Step 4: Simplify right side
    865.60x = 650,628.24
  5. Step 5: Solve for x
    x = 650,628.24/865.60
  6. Step 6: Final answer
    x = 751.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.