Home / 1,307.48-1,961.52-430.16

Finding the Fourth Proportional to 1,307.48, 1,961.52 and 430.16

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Solution

The fourth proportional to 1,307.48, 1,961.52 and 430.16 is: 645.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.48 : 1,961.52 = 430.16 : x
  2. Step 2: Convert to fraction form
    1,307.48/1,961.52 = 430.16/x
  3. Step 3: Cross multiply
    1,307.48x = 1,961.52 × 430.16
  4. Step 4: Simplify right side
    1,307.48x = 843,767.44
  5. Step 5: Solve for x
    x = 843,767.44/1,307.48
  6. Step 6: Final answer
    x = 645.34

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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.