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Finding the Fourth Proportional to 883.01, 1,218.61 and 510.00

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Solution

The fourth proportional to 883.01, 1,218.61 and 510.00 is: 703.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.01 : 1,218.61 = 510.00 : x
  2. Step 2: Convert to fraction form
    883.01/1,218.61 = 510.00/x
  3. Step 3: Cross multiply
    883.01x = 1,218.61 × 510.00
  4. Step 4: Simplify right side
    883.01x = 621,490.71
  5. Step 5: Solve for x
    x = 621,490.71/883.01
  6. Step 6: Final answer
    x = 703.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.