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Finding the Fourth Proportional to 889.47, 1,332.83 and 524.06

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Solution

The fourth proportional to 889.47, 1,332.83 and 524.06 is: 785.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.47 : 1,332.83 = 524.06 : x
  2. Step 2: Convert to fraction form
    889.47/1,332.83 = 524.06/x
  3. Step 3: Cross multiply
    889.47x = 1,332.83 × 524.06
  4. Step 4: Simplify right side
    889.47x = 698,482.89
  5. Step 5: Solve for x
    x = 698,482.89/889.47
  6. Step 6: Final answer
    x = 785.28

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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.