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Finding the Fourth Proportional to 1,547.38, 2,320.73 and 560.04

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Solution

The fourth proportional to 1,547.38, 2,320.73 and 560.04 is: 839.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.38 : 2,320.73 = 560.04 : x
  2. Step 2: Convert to fraction form
    1,547.38/2,320.73 = 560.04/x
  3. Step 3: Cross multiply
    1,547.38x = 2,320.73 × 560.04
  4. Step 4: Simplify right side
    1,547.38x = 1,299,697.18
  5. Step 5: Solve for x
    x = 1,299,697.18/1,547.38
  6. Step 6: Final answer
    x = 839.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.