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Finding the Fourth Proportional to 1,354.07, 2,030.76 and 532.35

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Solution

The fourth proportional to 1,354.07, 2,030.76 and 532.35 is: 798.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.07 : 2,030.76 = 532.35 : x
  2. Step 2: Convert to fraction form
    1,354.07/2,030.76 = 532.35/x
  3. Step 3: Cross multiply
    1,354.07x = 2,030.76 × 532.35
  4. Step 4: Simplify right side
    1,354.07x = 1,081,075.09
  5. Step 5: Solve for x
    x = 1,081,075.09/1,354.07
  6. Step 6: Final answer
    x = 798.39

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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.