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Finding the Fourth Proportional to 1,565.85, 2,348.03 and 578.00

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Solution

The fourth proportional to 1,565.85, 2,348.03 and 578.00 is: 866.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.85 : 2,348.03 = 578.00 : x
  2. Step 2: Convert to fraction form
    1,565.85/2,348.03 = 578.00/x
  3. Step 3: Cross multiply
    1,565.85x = 2,348.03 × 578.00
  4. Step 4: Simplify right side
    1,565.85x = 1,357,146.71
  5. Step 5: Solve for x
    x = 1,357,146.71/1,565.85
  6. Step 6: Final answer
    x = 866.72

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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.