Home / 1,048.04-1,572.36-470.76

Finding the Fourth Proportional to 1,048.04, 1,572.36 and 470.76

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Solution

The fourth proportional to 1,048.04, 1,572.36 and 470.76 is: 706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.04 : 1,572.36 = 470.76 : x
  2. Step 2: Convert to fraction form
    1,048.04/1,572.36 = 470.76/x
  3. Step 3: Cross multiply
    1,048.04x = 1,572.36 × 470.76
  4. Step 4: Simplify right side
    1,048.04x = 740,204.19
  5. Step 5: Solve for x
    x = 740,204.19/1,048.04
  6. Step 6: Final answer
    x = 706.27

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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.