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Finding the Fourth Proportional to 1,566.50, 2,347.31 and 592.07

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Solution

The fourth proportional to 1,566.50, 2,347.31 and 592.07 is: 887.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.50 : 2,347.31 = 592.07 : x
  2. Step 2: Convert to fraction form
    1,566.50/2,347.31 = 592.07/x
  3. Step 3: Cross multiply
    1,566.50x = 2,347.31 × 592.07
  4. Step 4: Simplify right side
    1,566.50x = 1,389,771.83
  5. Step 5: Solve for x
    x = 1,389,771.83/1,566.50
  6. Step 6: Final answer
    x = 887.18

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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.