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Finding the Fourth Proportional to 923.65, 1,275.05 and 609.08

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Solution

The fourth proportional to 923.65, 1,275.05 and 609.08 is: 840.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.65 : 1,275.05 = 609.08 : x
  2. Step 2: Convert to fraction form
    923.65/1,275.05 = 609.08/x
  3. Step 3: Cross multiply
    923.65x = 1,275.05 × 609.08
  4. Step 4: Simplify right side
    923.65x = 776,607.45
  5. Step 5: Solve for x
    x = 776,607.45/923.65
  6. Step 6: Final answer
    x = 840.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.