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Finding the Fourth Proportional to 1,420.58, 2,130.82 and 352.01

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Solution

The fourth proportional to 1,420.58, 2,130.82 and 352.01 is: 528.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.58 : 2,130.82 = 352.01 : x
  2. Step 2: Convert to fraction form
    1,420.58/2,130.82 = 352.01/x
  3. Step 3: Cross multiply
    1,420.58x = 2,130.82 × 352.01
  4. Step 4: Simplify right side
    1,420.58x = 750,069.95
  5. Step 5: Solve for x
    x = 750,069.95/1,420.58
  6. Step 6: Final answer
    x = 528.00

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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.