Home / 1,055.03-1,582.13-470.21

Finding the Fourth Proportional to 1,055.03, 1,582.13 and 470.21

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Solution

The fourth proportional to 1,055.03, 1,582.13 and 470.21 is: 705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.03 : 1,582.13 = 470.21 : x
  2. Step 2: Convert to fraction form
    1,055.03/1,582.13 = 470.21/x
  3. Step 3: Cross multiply
    1,055.03x = 1,582.13 × 470.21
  4. Step 4: Simplify right side
    1,055.03x = 743,926.61
  5. Step 5: Solve for x
    x = 743,926.61/1,055.03
  6. Step 6: Final answer
    x = 705.13

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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.