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Finding the Fourth Proportional to 972.35, 1,458.45 and 560.19

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Solution

The fourth proportional to 972.35, 1,458.45 and 560.19 is: 840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.35 : 1,458.45 = 560.19 : x
  2. Step 2: Convert to fraction form
    972.35/1,458.45 = 560.19/x
  3. Step 3: Cross multiply
    972.35x = 1,458.45 × 560.19
  4. Step 4: Simplify right side
    972.35x = 817,009.11
  5. Step 5: Solve for x
    x = 817,009.11/972.35
  6. Step 6: Final answer
    x = 840.24

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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.