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Finding the Fourth Proportional to 1,420.88, 2,128.56 and 802.67

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Solution

The fourth proportional to 1,420.88, 2,128.56 and 802.67 is: 1,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.88 : 2,128.56 = 802.67 : x
  2. Step 2: Convert to fraction form
    1,420.88/2,128.56 = 802.67/x
  3. Step 3: Cross multiply
    1,420.88x = 2,128.56 × 802.67
  4. Step 4: Simplify right side
    1,420.88x = 1,708,531.26
  5. Step 5: Solve for x
    x = 1,708,531.26/1,420.88
  6. Step 6: Final answer
    x = 1,202.45

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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.