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Finding the Fourth Proportional to 1,140.34, 1,573.70 and 643.00

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Solution

The fourth proportional to 1,140.34, 1,573.70 and 643.00 is: 887.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.34 : 1,573.70 = 643.00 : x
  2. Step 2: Convert to fraction form
    1,140.34/1,573.70 = 643.00/x
  3. Step 3: Cross multiply
    1,140.34x = 1,573.70 × 643.00
  4. Step 4: Simplify right side
    1,140.34x = 1,011,881.23
  5. Step 5: Solve for x
    x = 1,011,881.23/1,140.34
  6. Step 6: Final answer
    x = 887.35

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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.