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Finding the Fourth Proportional to 788.38, 1,088.55 and 508.78

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Solution

The fourth proportional to 788.38, 1,088.55 and 508.78 is: 702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.38 : 1,088.55 = 508.78 : x
  2. Step 2: Convert to fraction form
    788.38/1,088.55 = 508.78/x
  3. Step 3: Cross multiply
    788.38x = 1,088.55 × 508.78
  4. Step 4: Simplify right side
    788.38x = 553,833.83
  5. Step 5: Solve for x
    x = 553,833.83/788.38
  6. Step 6: Final answer
    x = 702.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.