Home / 1,056.26-1,458.15-742.19

Finding the Fourth Proportional to 1,056.26, 1,458.15 and 742.19

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Solution

The fourth proportional to 1,056.26, 1,458.15 and 742.19 is: 1,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.26 : 1,458.15 = 742.19 : x
  2. Step 2: Convert to fraction form
    1,056.26/1,458.15 = 742.19/x
  3. Step 3: Cross multiply
    1,056.26x = 1,458.15 × 742.19
  4. Step 4: Simplify right side
    1,056.26x = 1,082,224.35
  5. Step 5: Solve for x
    x = 1,082,224.35/1,056.26
  6. Step 6: Final answer
    x = 1,024.58

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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.