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Finding the Fourth Proportional to 1,535.34, 2,303.16 and 561.21

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Solution

The fourth proportional to 1,535.34, 2,303.16 and 561.21 is: 841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.34 : 2,303.16 = 561.21 : x
  2. Step 2: Convert to fraction form
    1,535.34/2,303.16 = 561.21/x
  3. Step 3: Cross multiply
    1,535.34x = 2,303.16 × 561.21
  4. Step 4: Simplify right side
    1,535.34x = 1,292,556.42
  5. Step 5: Solve for x
    x = 1,292,556.42/1,535.34
  6. Step 6: Final answer
    x = 841.87

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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.