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Finding the Fourth Proportional to 1,064.50, 1,593.96 and 946.93

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Solution

The fourth proportional to 1,064.50, 1,593.96 and 946.93 is: 1,417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.50 : 1,593.96 = 946.93 : x
  2. Step 2: Convert to fraction form
    1,064.50/1,593.96 = 946.93/x
  3. Step 3: Cross multiply
    1,064.50x = 1,593.96 × 946.93
  4. Step 4: Simplify right side
    1,064.50x = 1,509,368.54
  5. Step 5: Solve for x
    x = 1,509,368.54/1,064.50
  6. Step 6: Final answer
    x = 1,417.91

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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.