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Finding the Fourth Proportional to 993.24, 1,488.51 and 560.16

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Solution

The fourth proportional to 993.24, 1,488.51 and 560.16 is: 839.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.24 : 1,488.51 = 560.16 : x
  2. Step 2: Convert to fraction form
    993.24/1,488.51 = 560.16/x
  3. Step 3: Cross multiply
    993.24x = 1,488.51 × 560.16
  4. Step 4: Simplify right side
    993.24x = 833,803.76
  5. Step 5: Solve for x
    x = 833,803.76/993.24
  6. Step 6: Final answer
    x = 839.48

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1.5x scale

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.