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Finding the Fourth Proportional to 1,035.63, 1,559.04 and 946.35

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Solution

The fourth proportional to 1,035.63, 1,559.04 and 946.35 is: 1,424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.63 : 1,559.04 = 946.35 : x
  2. Step 2: Convert to fraction form
    1,035.63/1,559.04 = 946.35/x
  3. Step 3: Cross multiply
    1,035.63x = 1,559.04 × 946.35
  4. Step 4: Simplify right side
    1,035.63x = 1,475,397.50
  5. Step 5: Solve for x
    x = 1,475,397.50/1,035.63
  6. Step 6: Final answer
    x = 1,424.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.