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Finding the Fourth Proportional to 1,535.13, 2,303.01 and 561.32

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Solution

The fourth proportional to 1,535.13, 2,303.01 and 561.32 is: 842.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.13 : 2,303.01 = 561.32 : x
  2. Step 2: Convert to fraction form
    1,535.13/2,303.01 = 561.32/x
  3. Step 3: Cross multiply
    1,535.13x = 2,303.01 × 561.32
  4. Step 4: Simplify right side
    1,535.13x = 1,292,714.06
  5. Step 5: Solve for x
    x = 1,292,714.06/1,535.13
  6. Step 6: Final answer
    x = 842.09

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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.