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Finding the Fourth Proportional to 1,554.91, 2,332.33 and 460.01

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Solution

The fourth proportional to 1,554.91, 2,332.33 and 460.01 is: 690.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.91 : 2,332.33 = 460.01 : x
  2. Step 2: Convert to fraction form
    1,554.91/2,332.33 = 460.01/x
  3. Step 3: Cross multiply
    1,554.91x = 2,332.33 × 460.01
  4. Step 4: Simplify right side
    1,554.91x = 1,072,895.12
  5. Step 5: Solve for x
    x = 1,072,895.12/1,554.91
  6. Step 6: Final answer
    x = 690.00

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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.