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Finding the Fourth Proportional to 1,125.69, 1,686.08 and 928.49

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Solution

The fourth proportional to 1,125.69, 1,686.08 and 928.49 is: 1,390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.69 : 1,686.08 = 928.49 : x
  2. Step 2: Convert to fraction form
    1,125.69/1,686.08 = 928.49/x
  3. Step 3: Cross multiply
    1,125.69x = 1,686.08 × 928.49
  4. Step 4: Simplify right side
    1,125.69x = 1,565,495.35
  5. Step 5: Solve for x
    x = 1,565,495.35/1,125.69
  6. Step 6: Final answer
    x = 1,390.70

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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.