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Finding the Fourth Proportional to 1,564.72, 2,346.05 and 510.40

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Solution

The fourth proportional to 1,564.72, 2,346.05 and 510.40 is: 765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.72 : 2,346.05 = 510.40 : x
  2. Step 2: Convert to fraction form
    1,564.72/2,346.05 = 510.40/x
  3. Step 3: Cross multiply
    1,564.72x = 2,346.05 × 510.40
  4. Step 4: Simplify right side
    1,564.72x = 1,197,428.13
  5. Step 5: Solve for x
    x = 1,197,428.13/1,564.72
  6. Step 6: Final answer
    x = 765.27

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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.