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Finding the Fourth Proportional to 1,560.69, 2,341.08 and 465.10

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Solution

The fourth proportional to 1,560.69, 2,341.08 and 465.10 is: 697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.69 : 2,341.08 = 465.10 : x
  2. Step 2: Convert to fraction form
    1,560.69/2,341.08 = 465.10/x
  3. Step 3: Cross multiply
    1,560.69x = 2,341.08 × 465.10
  4. Step 4: Simplify right side
    1,560.69x = 1,088,830.46
  5. Step 5: Solve for x
    x = 1,088,830.46/1,560.69
  6. Step 6: Final answer
    x = 697.66

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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.