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Finding the Fourth Proportional to 1,164.02, 1,607.10 and 914.77

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Solution

The fourth proportional to 1,164.02, 1,607.10 and 914.77 is: 1,262.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.02 : 1,607.10 = 914.77 : x
  2. Step 2: Convert to fraction form
    1,164.02/1,607.10 = 914.77/x
  3. Step 3: Cross multiply
    1,164.02x = 1,607.10 × 914.77
  4. Step 4: Simplify right side
    1,164.02x = 1,470,126.87
  5. Step 5: Solve for x
    x = 1,470,126.87/1,164.02
  6. Step 6: Final answer
    x = 1,262.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.