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Finding the Fourth Proportional to 1,029.65, 1,535.56 and 1,009.06

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Solution

The fourth proportional to 1,029.65, 1,535.56 and 1,009.06 is: 1,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.65 : 1,535.56 = 1,009.06 : x
  2. Step 2: Convert to fraction form
    1,029.65/1,535.56 = 1,009.06/x
  3. Step 3: Cross multiply
    1,029.65x = 1,535.56 × 1,009.06
  4. Step 4: Simplify right side
    1,029.65x = 1,549,465.81
  5. Step 5: Solve for x
    x = 1,549,465.81/1,029.65
  6. Step 6: Final answer
    x = 1,504.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.