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Finding the Fourth Proportional to 1,535.47, 2,303.21 and 561.35

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Solution

The fourth proportional to 1,535.47, 2,303.21 and 561.35 is: 842.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.47 : 2,303.21 = 561.35 : x
  2. Step 2: Convert to fraction form
    1,535.47/2,303.21 = 561.35/x
  3. Step 3: Cross multiply
    1,535.47x = 2,303.21 × 561.35
  4. Step 4: Simplify right side
    1,535.47x = 1,292,892.61
  5. Step 5: Solve for x
    x = 1,292,892.61/1,535.47
  6. Step 6: Final answer
    x = 842.02

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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.