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Finding the Fourth Proportional to 1,565.65, 2,348.48 and 470.40

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Solution

The fourth proportional to 1,565.65, 2,348.48 and 470.40 is: 705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.65 : 2,348.48 = 470.40 : x
  2. Step 2: Convert to fraction form
    1,565.65/2,348.48 = 470.40/x
  3. Step 3: Cross multiply
    1,565.65x = 2,348.48 × 470.40
  4. Step 4: Simplify right side
    1,565.65x = 1,104,724.99
  5. Step 5: Solve for x
    x = 1,104,724.99/1,565.65
  6. Step 6: Final answer
    x = 705.60

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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.