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Finding the Fourth Proportional to 1,035.10, 1,552.65 and 930.70

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Solution

The fourth proportional to 1,035.10, 1,552.65 and 930.70 is: 1,396.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.10 : 1,552.65 = 930.70 : x
  2. Step 2: Convert to fraction form
    1,035.10/1,552.65 = 930.70/x
  3. Step 3: Cross multiply
    1,035.10x = 1,552.65 × 930.70
  4. Step 4: Simplify right side
    1,035.10x = 1,445,051.36
  5. Step 5: Solve for x
    x = 1,445,051.36/1,035.10
  6. Step 6: Final answer
    x = 1,396.05

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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.