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Finding the Fourth Proportional to 1,656.83, 2,484.74 and 560.90

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Solution

The fourth proportional to 1,656.83, 2,484.74 and 560.90 is: 841.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.83 : 2,484.74 = 560.90 : x
  2. Step 2: Convert to fraction form
    1,656.83/2,484.74 = 560.90/x
  3. Step 3: Cross multiply
    1,656.83x = 2,484.74 × 560.90
  4. Step 4: Simplify right side
    1,656.83x = 1,393,698.28
  5. Step 5: Solve for x
    x = 1,393,698.28/1,656.83
  6. Step 6: Final answer
    x = 841.18

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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.