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Finding the Fourth Proportional to 1,457.12, 2,184.64 and 590.72

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Solution

The fourth proportional to 1,457.12, 2,184.64 and 590.72 is: 885.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.12 : 2,184.64 = 590.72 : x
  2. Step 2: Convert to fraction form
    1,457.12/2,184.64 = 590.72/x
  3. Step 3: Cross multiply
    1,457.12x = 2,184.64 × 590.72
  4. Step 4: Simplify right side
    1,457.12x = 1,290,510.54
  5. Step 5: Solve for x
    x = 1,290,510.54/1,457.12
  6. Step 6: Final answer
    x = 885.66

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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.