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Finding the Fourth Proportional to 1,128.60, 1,690.32 and 780.35

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Solution

The fourth proportional to 1,128.60, 1,690.32 and 780.35 is: 1,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.60 : 1,690.32 = 780.35 : x
  2. Step 2: Convert to fraction form
    1,128.60/1,690.32 = 780.35/x
  3. Step 3: Cross multiply
    1,128.60x = 1,690.32 × 780.35
  4. Step 4: Simplify right side
    1,128.60x = 1,319,041.21
  5. Step 5: Solve for x
    x = 1,319,041.21/1,128.60
  6. Step 6: Final answer
    x = 1,168.74

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Why These Related Problems?

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