Home / 1,055.16-1,582.86-397.14

Finding the Fourth Proportional to 1,055.16, 1,582.86 and 397.14

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Solution

The fourth proportional to 1,055.16, 1,582.86 and 397.14 is: 595.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.16 : 1,582.86 = 397.14 : x
  2. Step 2: Convert to fraction form
    1,055.16/1,582.86 = 397.14/x
  3. Step 3: Cross multiply
    1,055.16x = 1,582.86 × 397.14
  4. Step 4: Simplify right side
    1,055.16x = 628,617.02
  5. Step 5: Solve for x
    x = 628,617.02/1,055.16
  6. Step 6: Final answer
    x = 595.76

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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.