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Finding the Fourth Proportional to 1,533.83, 2,300.13 and 559.40

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Solution

The fourth proportional to 1,533.83, 2,300.13 and 559.40 is: 838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.83 : 2,300.13 = 559.40 : x
  2. Step 2: Convert to fraction form
    1,533.83/2,300.13 = 559.40/x
  3. Step 3: Cross multiply
    1,533.83x = 2,300.13 × 559.40
  4. Step 4: Simplify right side
    1,533.83x = 1,286,681.22
  5. Step 5: Solve for x
    x = 1,286,681.22/1,533.83
  6. Step 6: Final answer
    x = 838.87

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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.