Home / 1,535.15-2,302.23-657.63

Finding the Fourth Proportional to 1,535.15, 2,302.23 and 657.63

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Solution

The fourth proportional to 1,535.15, 2,302.23 and 657.63 is: 986.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.15 : 2,302.23 = 657.63 : x
  2. Step 2: Convert to fraction form
    1,535.15/2,302.23 = 657.63/x
  3. Step 3: Cross multiply
    1,535.15x = 2,302.23 × 657.63
  4. Step 4: Simplify right side
    1,535.15x = 1,514,015.51
  5. Step 5: Solve for x
    x = 1,514,015.51/1,535.15
  6. Step 6: Final answer
    x = 986.23

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1.5x scale

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.